Mo puts $290000 into savings bonds that pay a simple interest rate of 5.2%. How much money will the bonds be worth at the end of 6 years

Answers

Answer 1

Answer:

in six years, Mo will have roughly $393090.4 in savings bonds.

Step-by-step explanation:

(This might not be the most efficient way to do it.)

year one - 290000 x 1.052 = 305080

year two - 305080 x 1.052 = 320944.16

year three - 320944.16 x 1.052 = 337633.256

year four - 337633.256 x 1.052 = 355190.185

year five - 355190.185 x 1.052 = 373660.075

year six - 373660.075 x 1.052 = 393090.399

in six years, Mo will have roughly $393090.4 in savings bonds.


Related Questions

refer to exercise 9. what proportion of 9-ounce bags of this brand of potato chips weigh more than 9.2 ounces?

Answers

Percentage of bags that weigh more than 9.25 ounces is 19.3%.

Given:

Mean μ = 9.12

standard deviation σ = 0.15

z = x - μ / σ

= 9.25 - 9.12 / 0.15

= 0.13/0.15

= 0.867

P(x>Z)  = 0.193

= 0.193/100

= 19.3%

Therefore Percentage of bags that weigh more than 9.25 ounces is 19.3%.

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tossing a fair coin 20 times and counting the number of heads (x). what is the chance that the number of heads is 13 or more?

Answers

By using Binomial Distribution  of probability, it is obtained that

Probability  that the number of heads is 13 or more =  [tex]137980(\frac{1}{2})^{20}[/tex]

What is Binomial Distribution?

Binomial distribution is a discrete type probability distribution whose probability mass function is

P(X = k) = [tex]{n \choose k} p^k(1 - p)^{n-k}[/tex]

p is the probability of success.

Here Binomial distribution of probability is used

P(X [tex]\geq[/tex] 13) = P(X = 13) + P(X = 14) + ........ + P(X = 20)

P(X = 13) = [tex]{20 \choose 13} (\frac{1}{2})^{13}( 1 - \frac{1}{2}})^{20-13}[/tex]

              = [tex]{20 \choose 13} (\frac{1}{2})^{13}( \frac{1}{2}})^{7}[/tex]

              =[tex]{20 \choose1 3} (\frac{1}{2})^{20}[/tex]

P(X = 14) = [tex]{20 \choose14} (\frac{1}{2})^{20}[/tex]

P(X = 20) = [tex]{20 \choose20} (\frac{1}{2})^{20}[/tex]

Total Probability = [tex]({20 \choose 13} + {20 \choose 14} + .... {20 \choose 20})(\frac{1}{2})^{20}[/tex]

                  = (77520 + 38760 + 15504 + 4845 + 1140 + 190 + 20 + 1)[tex](\frac{1}{2})^{20}[/tex]

                   = [tex]137980(\frac{1}{2})^{20}[/tex]

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a rectangle is drawn so the width is 49 inches longer than the height. if the rectangle's diagonal measurement is 61 inches, find the height.

Answers

Refer to the attachment for figure:

The height of the rectangle = 11 inches

What is rectangle?

A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.

Let x= height

Width becomes x+49

Diagonal BD=61 inches

By pythagoras theorem,

BD²=BC²+CD²

61²= (x+49)²+x²

3721=x²+98x+2401+x²

On simplification,

x²+49x-660=0

Find the factors

(x+60)(x-11)=0

x=-60, x=11

Consider positive value for height

height = 11 inches

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Maxine and her daughter are going grocery showing after she gets off work. Maxine sees that apples are $0.25, while bananas are $0.79. She has $2.50 to spend on apples, x, and bananas. y. Write the equation, in standard form that represents her situation.



HELP ME PLEASE

Answers

Her situation can be modeled by the linear equation (in standard form):

x*$0.25 + y*$0.79 = $2.50

How to write the equation that represents her situation?

The variables that we will use here are:

x =  number of apples that she can buy.

y = number of bananas that she can buy.

We know that she has $2.50 to spend, that each apple costs $0.25 and each banana costs $0.79, then the cost of the x apples and y bananas is:

x*$0.25 + y*$0.79

and that must be equal to the amount she has to spend, then we can write the linear equation:

x*$0.25 + y*$0.79 = $2.50

That is the linear equation in standard form that represents her situation.

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A survey was given to people who owend a certain type of car. What percent of the people surveyed were completely sastified with the car?

Answers

Need more information

So if I get paid every 12 days and I put 80$ back every 12 days how long would it take to get to 2000 dollars

Answers

It will take 300 days to get to 2000 dollars.

According to the question,

We have the following information:

One gets paid every 12 days and one puts back $80 every 12 days.

Now, the total amount of dollars is $2000.

Now, we have the following progression:

80, 160, 240, ...

This is an arithmetic progression.

an = a+(n-1)d where a is the first term and d is the common difference

2000 = 80+(n-1)80

2000 = 80+80n-80

2000 = 80n

n = 2000/80

n = 25

Now, the number of days one is paid is after 12 days.

So, the number of days to get 2000 dollars:

25*12

300 days

Hence, it will take 300 days to get to 2000 dollars.

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Which inequality is represented by the graph

Answers

Inequality represented by the given graph is equal to 5x -3y > 9.

As given in the question,

For the given graph,

Consider two points on the line represented on the graph ,

( x₁ , y₁) = (0,-3)

(x₂ , y₂) = ( 3,2)

Equation of the line given by two points on the graph,

( y - y₁)/ (x -x₁) = ( y₂ - y₁)/ (x₂ -x₁)

⇒(y +3)/(x-0) = ( 2 + 3)/(3 -0)

⇒(y + 3) / x = 5/3

⇒3(y+ 3) = 5x

⇒3y + 9 = 5x

⇒5x -3y = 9

As per shaded region inequality of the graph is given by,

5x -3y > 9

Therefore, inequality represented by the given graph is equal to 5x -3y> 9.

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Is the following statement a good definition?
An equilateral triangle is a triangle with all sides congruent.
yes
or
no

Answers

Answer: Yes

Step-by-step explanation:

An equilateral triangle has three equal sides and angles, therefore all of the sides are congruent.

what is the equation in standard form of the line that passes through the point (1,24) and has a slope of (-3/5)

Answers

 y = -3/5x - 123/5 is slope-intercept form .

What is an explanation of the slope-intercept form?

A line's equation can be written in the slope-intercept form so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately visible. This form is frequently known as the y = mx + b form.

Point = ( 1,24 )

slope = -3/5

the equation in standard form of the line that passes through the point

               y - y₁ = m ( x - x₁)

                y - 24 = -3/5 ( x - 1)

             5 (y - 24) = -3( x - 1 )

                5y -    120 = -3x + 3

                 5y = -3x + 3 + 120

                 5y = -3x + 123

                 y = -3/5x - 123/5

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Johnny has some nickels and dimes in his pocket, and the change is worth $0.75. He has twice as many dimes as nickels. How many of each type of coin does Johnny have?
| BTW this is a system of equations question

Answers

The number of dimes and nickels that Johnny has are 6 and 3 respectively.

How to calculate the value?

The following should be noted:

Nickel = 5 cent = 0.05

Dime = 10 cents = 0.10

Let the number of nickels = n

Let the number of dimes = 2n

Total worth = $0.75

This will be illustrated as:

0.05(n) + 0.10(2n) = 0.75

0.05n + 0.20n = 0.75

0.25n = 0.75

Divide

n = 0.75/0.25

n = 3

Number of nickels = 3

Number of dimes = 2n

= 2 × 3

= 6

Number of dimes = 6

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Write an equation of the line passing through point
P(-8, 0) that is perpendicular to the line y=-3

Answers

The equation of line passing through the point P(-8,0) that is perpendicular to the line y=-3 is y=0 which can be found out from slope intercept formula.

It is given to us that -

The point is P(-8,0)

The line is represented as y=-3

The point P is perpendicular to the given line.

We have to find out the equation of the line passing through P which is perpendicular to the given line.

We know that the equation of a line is given by -

y = mx + c

where, (x, y) = coordinates of the point

m = slope of the line

c = a constant

Comparing this with the equation of the given line, we have

m=0 and c =-3

This implies that the slope of the perpendicular is also equal to 0.

The slope intercept formula for the perpendicular line can be represented as -

y = mx + c

Using the coordinates of P(-8,0), we have

0 = 0*(-8) +c

=> c = 0.

Thus, the equation of line passing through the point P(-8,0) that is perpendicular to the line y=-3 is y=0.

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What effect do you think the sample size have on the mean of the sampling distribution of the mean?.

Answers

The effect of the sample size on the mean of the sampling distribution is that it effects the variations .

In the question ,

If the sample size is increased ,

that is if the number of sample is increased then the errors in the sampling distribution becomes less .

and if the sample size is decreased then it will lead to the increase in the errors  of the distribution .

The formula for relationship between variation and sample size is given as ,

σx = σ / sqrt (n)

we can see that variation and sample size are inversely proportional .

that means increase in the sample size results in reduction of variation.

Therefore , The effect of the sample size on the mean of the sampling distribution is that it effects the variations .

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50 POINTS TO WHOEVER SOLVES THIS QUESTION!!!! PLEASE HELP

Answers

The total segment AE is 46.

What is SAS(Side -Angle-Side) triangle?

"SAS" is when we know two sides and the angle between them.

To solve an SAS triangle we use "The Law of Cosines" to calculate the unknown side.

The Law of Cosines = a² = b² + c² − 2bc cosA

where

'b' and 'c' are two given sides

'A' is the angle between side 'b' and 'c' and

a' is the unknown side which we have to find.

In ΔABC , b=21, c=20, a= AC

By the Cosine law

a² = 21²+20² - 2*21*20 cos90°

a² =441 + 400 - 0 (∵cos 90° =0)

a² = 841

a=√841

a=29= AC.

Now, in ΔCDE, b=8, c=15 and a = CE

By the Cosine law

a² = 8² + 15²- 2*8*15cos90°

a² = 64 + 225 - 0 (∵cos 90° =0)

a²= 289

a = 17 = CE.

AE = AC + CE

AE = 29+17= 46.

Therefore, the total segment AE is 46.

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Rio went to Wal-mart and bought 1 pounds of Turkey for $5.50

What is the cost per pound of Turkey?

Round your answer to the nearest CENT, if necessary.

$4.75

$4.40

$5.00

$0.23

Answers

Answer:

It says right there that he bought a pound of turkey for $5.50.

One pound of turkey is $5.50?

Step-by-step explanation:

This is extremely confusing

Can you write an equation to show how much the total cost, y, to travel in x miles?
Don’t forget: in slope-intercept form, y=mx+b, m is the slope and b is the y-intercept.

Answers

Answer:

y = 3x + 2

Step-by-step explanation:

The slope is the rate of change.  The y intercept is the y value when x is 0.

485.2635 Find the digits in the hundreds place, in the tenths place, and in the ten thousandths place for the following number.

Answers

6 is the hundredths place
2 is the tenths place
5 is the ten thousandths place

Answer:

Hundreds: 6 Tenths: 2 Ten Thousands: 5

Step-by-step explanation:

Hundreds are 2 decimal places (0.02)

Tenths are 1 decimal place (0.1)

Ten Thousands are 4 decimal places (0.0004)

Hope this helped!

Can anybody help me with this?

Answers

The slope of the line -1 and the y-intercept is 3.

From the question, we have

x+y = 3

y = -x+3

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

m = -1

c = 3

Slope of a Line :

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

As a result, m = change in y/change in x = y/x is the formula for the change in y-coordinate with respect to the change in x-coordinate.

where "m" represents a line's slope. The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

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A cereal company packs cereal boxes into large cardboard boxes. The large boxes are 12 inches long and 8 inches wide. How tall are the large boxes if the volume is 3,456 cubic. In.?

Answers

The height of the large boxes is 36 inches when the volume of box is 3456 cubic inches.

According to the question,

We have the following information:

A cereal company packs cereal boxes into large cardboard boxes. The large boxes are 12 inches long and 8 inches wide.

Volume of box = 3456 cubic inches

We know that the box is in the shape of cuboid.

Following formula is used to find the volume of cuboid:

Volume = length*width*height

12*8*height = 3456

96*height = 3456

Dividing both sides by 96:

Height = 3456/96

Height of the box = 36 inches

Hence, the height of the large boxes is 36 inches when the volume of box is 3456 cubic inches.

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express the vector with initial point (1,-1) and terminal point (4,2) as a linear combination of the standard unit vectors.

a. 3i + 3j

b. 5i + j

c. 3i - 3j

d. -3i + 3j

e. 3i + 4j

f. none of these

Answers

The vector as a linear combination of the standard unit vectors is written as 3i+3j , the correct option is (a) .

In the question ,

it is given that ,

the initial point of the vector = (1 , -1)

the terminal point of the vector = (4,2)

we know that the vector with initial point (x₁ , y₁) and (x₂ , y₂) is calculated using the formula

V = (x₂ - x₁)i + (y₂ - y₁)j

Substituting the values from the point ,

we get the vector as

V = (4 - 1)i + (2 -(-1))j

V = 3i + (2 + 1)j

V = 3i + 3j

Therefore , The vector as a linear combination of the standard unit vectors is written as 3i+3j , the correct option is (a) .

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27x + 35y = -105

what is x and what is y

Answers

Answer:

x-intercept: -([tex]\frac{35}{9}[/tex],0)

y-intercept: (0,-3)

Step-by-step explanation:

Chris earned $17,000 last year. If the first $25,000 is taxed at 8% and income above that is taxed at 16%, how much does Chris owe in tax?

Answers

well, we know the first $25,000 is taxed at 8%, wait a second!!!!! Chris didn't make 25,000 bucks, he only made $17,000, so he'd be in the range of $0 - $25,000 because $17,000 is in that range, that means he owes 8% of 17,000

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 17000}}{\left( \cfrac{8}{100} \right)17000}\implies 1360[/tex]

The amount Chris owes in tax is $1360.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The first $25,000 is taxed at 8%.

This means,

Amount from 0 to $25000 is taxed at 8%.

Now,

Chris earned = $17,000

Tax amount.

= 8% of 17,000

= 8/100 x 17,000

= 8 x 170

= $1360

Thus,

The tax amount is $1360.

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X i a poitive integer 33 divided by x i a poitive interger write 4 poible value of x

Answers



x is a where 33 can be divided by x and the four value of x is 1,3,11,and 33.

Given that x is a positive where 33 can be divided by x
So x should be less than 33 and a factor of 33
33 can be divded by 3 , 1,11,33
33 can be divded by 1,
33 can be divded by 11
33 can be divded by 33,
So the four value of X s 3,1,11,33.
a where 33 can be divided by x and the four postive value of x is 1,3,11,and 33

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531/4

Please give step by step explanation, must be long division.

Answers

Answer: 132.5

Step-by-step explanation:

Answer:

132.75

Step-by-step explanation:

*in picture below*

2 3/5 x 1 3/7 i need help

Answers

Answer:

26x/7

Step-by-step explanation:

The ratio of the number of red cubes to the total number of small plastic cubes in a classroom is 3:14. How many red cubes are there if there are 560 cubes altogether?

Answers

Answer:

red cubes = 99, plastic cubes = 462

Step-by-step explanation:

total number of cubes/total ratio

= 560/17

= 33 (approximately)

red cubes

= 33 × 3

= 99

plastic cubes

= 33 × 14

= 462

Though 462 + 99 equals 561 rather than 560, I had to approximate the values because if not, the result will be 461 which is a prime number.

A statistician proposed a new method for constructing a 90 percent confidence interval to estimate the median of assessed home values for homes in a large community. To test the method, the statistician will conduct a simulation by selecting 10,000 random samples of the same size from the population. For each sample, a confidence interval will be constructed using the new method. If the confidence level associated with the new method is actually 90 percent, which of the following will be captured by approximately 9000 of the confidence intervals constructed from the simulation?

(A) The Sample Mean
(B) The Sample Median
(C) The Sample Standard Division
(D) The Population mean
(E) The Population Median

Answers

The measure that will be captured by approximately 9000 of the confidence intervals is given as follows:

(E) The Population Median.

What is the interpretation of a x% confidence interval?

The interpretation of a x% confidence interval is that it is x% likely that the population parameter(mean/proportion/standard deviation/median) is between a and b, which are the bounds of the confidence interval.

The bounds of the confidence interval are obtained by the estimate plus/minus the margin of error.

The measure for which the confidence intervals are calculated in this problem is given by:

Median.

The sample median for each sample is used for the estimes, and then these estimates are inferred for the population median, which is the population parameter, hence option e is correct.

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Explain how you can use a part:part ratio to determine the part:whole ratio.

Answers

Let's say we have blue and red balls

Blue : Red

3 : 5

Now we can add another ratio for the whole.

Blue : Red : Total

Total is Blue + Red = 3 + 5 = 8

So

Blue : Red : Total

3 : 5 : 8

Then the part : whole ratio for Blue is...

Blue : Total

3 : 8


A scientist measures the mass of a metal to be 682 grams. There are 1000 grams in a kilogram and a kilogram is equal to about 2.2 pounds.
What is the mass of the metal in pounds?

Answers

Answer: The answer to this question is: the mass of the metal in pounds is 1.5 grams.

Step-by-step explanation: Search a free gram to pounds calculator and input your given input or output into there for further help if needed.

Hope this helps

The mass of the metal in pounds is 1.5 pounds.

What is unit conversion?

A unit conversion expresses the same property as a different unit of measurement.

Given that, a scientist measures the mass of a metal to be 682 grams

682 grams = 0.682 kg

0.682 kg = 0.682*2.2 = 1.5 pounds.

Hence, The mass of the metal in pounds is 1.5 pounds.

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✓ Completed
Part 1 of 3
In Progress
Given the following functions, find the indicated values.
f(x)=8-4x
(a) f(-7) (b) f(0) (c) f(4)
(a) f(-7)=

Answers

Answer:

(a) 36, (b) 8, (c) - 8

======================

Given function

f(x) = 8 - 4x

Find the indicated values

(a) f(-7)

f(-7) = 8 - 4(-7) = 8 + 28 = 36

(b) f(0)

f(0) = 8 - 4(0) = 8 - 0 = 8

(c) f(4)

f(4) = 8 - 4(4) = 8 - 16 = - 8

Answer:

a) f(-7) = 36 b) f(0) = 8 c) f(4) = -8

Step-by-step explanation:

a) f(-7) = ?

→ f(x) = 8 - 4x

→ f(-7) = 8 - 4(-7)

→ f(-7) = 8 + 28

→ f(-7) = 36

Hence, f(-7) = 36.

b) f(0) = ?

→ f(x) = 8 - 4x

→ f(0) = 8 - 4(0)

→ f(0) = 8 - 0

→ f(0) = 8

Hence, f(0) = 8.

c) f(4) = ?

→ f(x) = 8 - 4x

→ f(4) = 8 - 4(4)

→ f(4) = 8 - 16

→ f(4) = -8

Hence, f(4) = -8.

In this triangle, angle W equals (3x-24) degrees, and angle C equals (4x-11) degrees, and angle T equals 2x degrees, what does angle W equal?

Answers

Traingle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The sum of the three angles is equal to 180 degrees.

The value of angle W is 47.67

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

In this triangle:

angle W = (3x-24) degrees.

angle C = (4x-11) degrees.

angle T = 2x degrees.

Now,

The sum of the three angles is equal to 180 degrees.

3x - 24 + 4x - 11 + 2x = 180

9x - 35 = 180

9x = 180 + 35

9x = 215

x = 215/9

Now,

The angle W.

= 3x - 24

= (3 x 215/9) - 24

= 215/3 - 24

= 71.67 - 24

= 47.67

Thus,

The value of angle W is 47.67

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a health insurance policy pays 80 percent of physical therapy costs after a deductible of $500. in contrast, an hmo charges $30 per visit for physical therapy. how much would a person save with the hmo if he or she had 12 physical therapy sessions costing $125 each? question content area top part 1 all of the following business organizations provide limited liability to their owners except question content area bottom part 1 a. general partnership. b. stype corporation. c. corporation. d. limited liability company. one kind of plasmid in bacteria is called an r plasmid. what kinds of genes are typically present on such plasmids? 3. Based on Passage 1, why were more colonists injured than soldiers? a company operates 18 oil wells in a designated area. each pump, on average, extracts 270 barrels of oil daily. the company can add more wells, but every added well reduces the average daily output of each of the wells by 9 barrels. how many wells should the company add in order to maximize daily production? which of the following is not a factory overhead cost? multiple choice indirect labor costs. selling expenses. factory rent. indirect materials costs. maintenance costs. What conflict management style brings freedom from entanglement in trivial issues and preserves the status quo?. 2. As a shot putter in track, you want to throw as far as you can. You as the coach give yourbest advice based on the Physics you learned. Give 2 suggestions to help your student andexplain why? How many liters of hydrogen gas can form at STP when 0.500 L of 2.00M HCl solution reacts with excess magnesium? The answer is 11.2 L but can someone show the process A rubber band (in the form of a loop) is to be launched horizontally from a height of 1.0m. During the first launch, the rubber band is stretched 2.0 cm and the rubber band lands at a horizontal distance of 3.5 m from the point of launch. For the second launch the rubber band is stretched 4.0 cm. How far does it travel horizontally this time? If the same rubber band were to be stretched 4.0 cm, but aimed vertically, how high does it go? att and meg comer are married and file a joint tax return. they do not have any children. matt works as a history professor at a local university and earns a salary of $67,400. meg works part time at the same university. she earns $35,800 a year. the couple does not itemize deductions. other than salary, the comers' only other source of income is from the disposition of various capital assets (mostly stocks). (. calculate the mass of mgco3 precipitated by mixing 10.00 ml of a 0.200 m na2co3 solution with 5.00 ml of a 0.0650 m mg(no3)2 solution. Solve: 9l5n - 8l - 3 < 15 if an assessor overlooks or misdiagnoses the symptoms of a client who is a nonnative immigrant, what would be the most likely reason ngSearch topics and skillsMathAssessmentLanguage artsQAnalytics> JJ.2 Correct errors with indefinite pronoun-verb agreement CTTto my stereo.SubmitScienceSocial studiesFind the error with subject-verb agreement. Select the incorrect verb and type it correctly.RecommendationsI have two extension cords, but neither of them reach from the electrical outlet A line passes through the point (2, 7) and has a slope of 5. Write an equation in slope-intercept form for this line. is a nonpartisan interest group which defends individual rights against government encroachment. What was the job of the committees of correspondence What is meant by logistic growth? A system of mass production developed during the First Industrial Revolution.