In the diagram, which of these must be true

Answer:

Final Balance = 106.90$

Step-by-step explanation:

Using the simple interest formula I = prt.

The current balance after accumulated interest is B = I + p.

Given a principle of $100, time of 3 years, and interest rate of 2.3%.

I = (100$)(3y)(2.3%) = (100)(3)(2.3%) = (300)(2.3%) = (300)(0.023) = 6.90$

B (final balance) = 6.90$ + 100$ = 106.90$

Answer:

2 = 67

3 = 113

4 = 67

5 = 113

6 = 67

7 = 113

8 = 67

Step-by-step explanation:

opposite angle have to equal 180 because if you combine them they just become the line.

since the lines are parallel, measurements will be the same for the bottom set of angles as they are the top set of angles.

Answer:

0.27 or B (✿◠‿◠)

Answer:

- 33

Step-by-step explanation:

Step 1:

2x - 3x = 33       Equation

Step 2:

- x = 33      Subtract

Answer:

x = - 33

Hope This Helps :)

The solution to the equation 2x - 3x = 33 is x = -33.

To solve the equation 2x - 3x = 33, we need to combine like terms on the left side of the equation and then solve for x.

Combine like terms:

2x - 3x = -x

Rewrite the equation with the combined terms:

-x = 33

To isolate x, we need to multiply both sides of the equation by -1:

(-1)(-x) = (-1)(33)

This simplifies to:

x = -33

Therefore, the solution to the equation 2x - 3x = 33 is x = -33.

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Answer:

its commutative property

Answer:

It is communicative property :)

Step-by-step explanation:

Answer:

25r +30j = 460

r - j = 3

Step-by-step explanation:

Let r and j represent Riley's hours and Jace's hours, respectively. The equations could be ...

 25r +30j = 460

 r - j = 3

__

The solution is (r, j) = (10, 7).

Answer:

y = 12

x = 10/3

Step-by-step explanation:

y = -3.6x + 12

From this equation, which is in slope intercept form (y = mx+b), we already know that b represents the y-intercept, so that means the y-intercept is 12.

To find the x-intercept, we need to make y equal 0 to find x. So:

0 = -3.6x + 12

-3.6x = -12

x = 3.33333 --> 3 1/3

x = 10/3

Answer:

I think it would be like f x2 so you would reorder the term and get 2f

Step-by-step explanation:

Answer:

In 1 day, 1.70

In two days 0.022

Note; Unit was not given in the question, I would have included it

Step-by-step explanation:

Here, we are to calculate the amount of caffeine remaining in the body.

To calculate this, we simply substitute for the number of hours t in the equation.

In one day , we have 24 hours

So our substitution will be t = 24

Hence; for a day;

g(24) = 130(0.8346)^24 = 1.70

For two days, we have t = 48 hours

Thus; g(48) = 130(0.8346)^48 = 0.022

Answer:

Solution: x=5

Step-by-step explanation:

Equations

This is an equation in the form of a proportion or ratio:

[tex]\displaystyle \frac{2}{x+3}=\frac{5}{4x}[/tex]

To solve it, we eliminate the denominators by multiplying by both of them.

Multiply by (x+3)(4x):

[tex]\displaystyle (x+3)(4x)\frac{2}{x+3}=(x+3)(4x)\frac{5}{4x}[/tex]

Simplify both sides:

[tex](4x)*2=(x+3)*5[/tex]

Operate:

[tex]8x=5x+15[/tex]

Simplify:

[tex]3x=15[/tex]

Solve for x:

[tex]x=15/3=5[/tex]

Solution: x=5

Answer:

y-30=2(x-2)

Step-by-step explanation:

m=y2-y1/x2-x1

-28-2=(-30)

15-30=(-15)

-30/(-15)=2

m=2

hope this helps =3

sorry if im wrong

Answer:

118

Step-by-step explanation:

you should have learned this in 1st grade

Answer: 14 boxes

Step-by-step explanation:

Divide 110 by 8 and you get 13.75. You will then round up to the nearest hole number to make sure that almost all the boxes have 8 muffins in each.

200+30+0+0.70+0.01

Hope it's right

Answer:

Expanded Notation Form:

 200  

+ 30  

+ 0  

+   0.0

+   0.07

+   0.001

Expanded Factors Form:

 2 × 100  

+ 3 × 10  

+ 0 × 1  

+ 0 ×   0.1

+ 7 ×   0.01

+ 1 ×   0.001

Expanded Exponential Form:

2 × 102

+ 3 × 101

+ 0 × 100

+ 0 × 10-1

+ 7 × 10-2

+ 1 × 10-3

Word Form:

two hundred thirty and seventy-one thousandths

Step-by-step explanation:

Answer:

x- (3,0) and y- (0,6)

Step-by-step explanation:

see picture below

hope this helps!! :)

Answer:

5 times 3 equals 15 so they gained 15 yards. 12 times 2 equals 24. 24 minis 15 equals 9.

Answer:

- 10

Step-by-step explanation:

Step 1:

3 ( x - 10 ) = 5 ( 2x + 8 )      Equation

Step 2:

3x - 30 = 10x + 40       Multiply

Step 3:

- 30 = 7x + 40     Subtract 3x on both sides

Step 4:

- 70 = 7x           Subtract 40 on both sides

Step 5:

x = - 70 ÷ 7         Divide

Answer:

x = - 10

Hope This Helps :)

Answer:

Steve is first

Step-by-step explanation:

Steve is first in the ratio if the ratio of guitars is 4:3.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. A set of data points can be used to observe the constant relationship. A set of data with a constant relationship between two values is a comparison of miles traveled to hours traveled. A special type of ratio is the comparison of two different quantities.

The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b

Jenny has 3 guitars. Steve has 4 guitars.

The ratio is 4:3, which represents 4/3 or 4 parts Steve to 3 parts Jenny.

Hence, Steve is first in the ratio.

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Answer:

1. 325, 860  

2. 729,576

8. 782,118

Step-by-step explanation:

I THINK

Answer:

She should invest 150,000 in government bonds and 50,000 in investment grade bonds

Step-by-step explanation:

Let the amount invested in government bonds be $y while the amount invested in investment bond be $x

Since total is $200,000

Then:

x + y = 200,000 ••••••(i)

Since 13,000 is what is expected to be earned, then this is like the interest.

thus;

6% of x + 8% of y = 13,000

6x/100 + 8y/100 = 13,000

Multiply through by 100

6x + 8y = 1300000 •••••••(ii)

From i, x = 200,000 - y

insert this into ii

6(200,000-y) + 8y = 1300000

1200000-6y + 8y = 1300000

2y = 1300000-1200000

2y = 100,000

y = 100,000/2

y = 50,000

but x + y = 200,000

thus, x = 200,000 - 50,000

x = 150,000

Plug in the values for x, y, and z.

- (-8) - (6) - (-4)

8 - 6 + 4

2 + 4

6

The answer is 6.

Hope this helps!

Answer:

-2 a

Step-by-step explanation:

Answer: stay steez up twin

Answer:

I would say 17.6 miles

Step-by-step explanation:

30 miles in 2 hours but we wanna know how many miles in 1.7 hours, I simply divided 30 by 1.7 and got 17.6 miles.

Answer:

B. The y-intercept will shift down

Step-by-step explanation:

Answer:

10 minutes

Step-by-step explanation:

The relation between multiplying and dividing two negative fractions is needed.

When multiplying and dividing two negative fractions the answer will be always positive.

Let [tex]-\dfrac{a}{b}[/tex] be one fraction

and [tex]-\dfrac{c}{d}[/tex] be another fraction

Let us multiply them

[tex]-\dfrac{a}{b}\times -\dfrac{c}{d}=+\dfrac{ac}{bd}[/tex]

Let us divide them

[tex]\dfrac{-\dfrac{a}{b}}{-\dfrac{c}{d}}[/tex]

This can also be written as

[tex]-\dfrac{a}{b}\times -\dfrac{d}{c}=+\dfrac{ad}{bc}[/tex]

Since, multiplication and division are the inverse of each other the negative signs cancel each other and the sign is positive.

Hence, when multiplying and dividing two negative fractions the answer will be always positive.

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