Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=1100\hspace{35px}r=0.051\hspace{35px}t=18
P=1100r=0.051t=18
Given values
A=1100e^{0.051(18)}
A=1100e
0.051(18)
Answer: 2,750
Explanation:
Plug in
A=1100e^{0.918}
A=1100e
0.918
Multiply
A=2754.70450683
A=2754.70450683
Use calculator (with e button)
A\approx 2750
A≈2750
Round to nearest ten dollars
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The amount of money after 18 years nearest to ten will be $2,750.
What is continuous compounding?Theoretically, long-term average interest means that interest is continuously earned on a current account as well as reinvested into the balance to increase future interest earnings.
The equation is given as,
[tex]\rm A=P_o \times e^{r \times t}\\[/tex]
Faith invested $1,100 in an account paying an interest rate of 5.1% compounded continuously.
Then the amount after 18 years is calculated as,
[tex]\rm A = \$1,100 \times e^{0.051 \times 18}\\A = \$1,100 \times e^{0.918}[/tex]
Simplify the equation further, then we have
A = $1,100 x 2.504
A = $2,754.7
The amount of money after 18 years nearest to ten will be $2,750.
More about the continuous compounding link is given below.
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Set up a proportion and solve. Round answers to the nearest tenth.
What is 20% of 72?
What are the different ways to write multiplication in math
Answer:
Different ways to write multiplication include:
3 times 5
3x5
(3)(5)
3(5)
(3)5
etc
Step-by-step explanation:
I hope this helps!
Answer: 3 x 5, 3 · 5, 3 * 5 , (3) (5), 3 (5), and (3) 5. Hope this helps.
Step-by-step explanation:
if receiver travels 54 yards in 9 seconds whats the average speed
Answer:
Step-by-step explanation:
The average speed is 6 yards in 1 second!
GO CHEIFS!
Hope it helps
Answer:
6
Step-by-step explanation:
To find the average speed which is also the unit rate you simply need to divide the two numbers.
54 ÷ 9 = 6
So, 6 yards is your average speed.
Make me brainliest
A city holds an election for mayor every 2 years and an election for treasurer every 6 years. It held elections for both mayor and treasurer this year. How many years will
it be before the elections for mayor and treasurer both happen in the same year again?
Answer:
3years
Step-by-step explanation:
Answer:
It will take for about 6 six years for the election for both positions be taken
200 people watched a movie. 55% of the people liked the movie. How many
people did not like the movie?
Answer:
115
Step-by-step explanation:
Answer:
90 people
Step-by-step explanation:
So, all you have to do is put the equation as a proportional rate. First, you should subtract 55% from 100% to get you 45%, since that's the percentage of the people who didn't like it. Now, put that percentage in a fraction, so 45/100. Next to it, put the fraction x/200, since the denominator should be the total amount of people and x for the people who didn't like the movie. To solve this, you must take the numerator from 45/100 with the denominator from x/200 and multiply it, getting you 9000. Now divide this from the denominator in the fraction 45/100, getting you to 45/100 = 90/200. So x=90.
If that was confusing, just think about it like this... 200 is a multiple of 100, right? So, to get your answer you could just multiply 45/100 by 2 on both sides getting you to 90/200 = 90/200.
Hope that helps ;D
I need the answer
I don't need you to make it a whole paragraph
Answer:
3
Step-by-step explanation:
Answer:
3 cups
Step-by-step explanation:
Mr. and Mrs. Sanchez hope to send their daughter to college in fourteen years. How much money should they invest now at an interest rate of 9.5% per year, compounded continuously, in order to be able to contribute $9500 to her education?
Answer:
Principle (P) = $2,512.56 (Approx)
Step-by-step explanation:
Given:
Interest annually (R) = 9.5% = 0.095
Amount need (A) = $9500
Time period (T) = 14 years
Find:
Principle (P)
Computation:
A = P[e^(R*T)]
9,500 = P[e^(0.095 x 14)]
9,500 = P[3.781]
P = 9,500 / 3.781
Principle (P) = $2,512.56 (Approx)
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
A compound interest is given by the formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.
Given that A = 9500, r = 9.5% = 0.095, t = 14, n = 1. hence:
[tex]A=P(1+\frac{r}{n} )^{nt}\\\\9500=P(1+0.095)^{14}\\\\9500=3.56P\\\\P=\$2666[/tex]
Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.
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Is the cost of the apples proportinal to the weight of the apples?
Answer:
What is the cost/ weight of the apples?
Step-by-step explanation:
Rewrite 4x − 2y = 10 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Answer:
y=2x-5
slope is 2 and y intercept is -5
Step-by-step explanation:
this is because you put y by itself and the equation becomes -2y=-4x+10. Multiply by -1 to make these positive and get 2y=4x-10. Divide both sides by 2 and make the equation y=2x-5. Hope this helps
A laboratory scale is known to have a standard deviation of Ï = 0.001 gram in repeated weighings. Scale readings in repeated weighings are Normally distributed, with mean equal to the true weight of the specimen. A particular specimen is weighed 8 times on this scale. The average weight is x ¯ = 4.1602 grams. A 99% confidence interval for the true weight of the specimen is:_______
Answer:
the confidence interval for the true weight of the specimen is;
4.1593 ≤ μ ≤ 4.1611
Step-by-step explanation:
We are given;
Standard deviation; σ = 0.001
Sample size; n = 8
Average weight; x¯ = 4.1602
We are given a 99% confidence interval and the z-value at this interval is 2.576
Formula for confidence interval is;
CI = x¯ ± (zσ/√n)
Plugging in the relevant values, we have;
CI = 4.1602 ± (2.576 × 0.001/√8)
CI = 4.1602 ± 0.000911
CI = (4.1602 - 0.000911), (4.1602 + 0.000911)
CI ≈ (4.1593, 4.1611)
Thus, the confidence interval for the true weight will be expressed as;
4.1593 ≤ μ ≤ 4.1611
Where μ represents the true weight
a number plus the sum of the number
and seven.
Answer:
x+(x+7)
Step-by-step explanation:
sum=add all together
What the * stands for ?
Solve: (3x-9) and (x + 5)
Answer:
2
Step-by-step explanation:
Got it right on my test
Please define the following terms:
mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.
Answer:
★ Mercantilism - loosely related policies developed by Britain so that the colonies could be used as a source of raw materials.
★ Import - when items are brought in from other countries.
★ Export - when items are sold from one country to another.
★ Enumerated Article - certain crops and items, such as sugar, tobacco, cotton, ginger, and some dyes, that could not be shipped, carried, conveyed, or transported under the Navigation Act of 1660.
★ Legislature - a group of people coming together to legitimize decisions.
★ Indentured Servant - colonists who received free passage to North America in exchange for working without pay for a certain number of years.
★ Navigation Acts - band of laws that restriced the use of foreign shipping for trade only between england and its colonies.
★ Dominion of New England - an english governing organization that united the New England colonies into a single administrative unit from 1686 to 1689.
★ English Bill Of Rights - act passed by parliament, that ensured the superiority of parliament over the monarchy.
Step-by-step explanation:
Hope you have a great day ;-)
Please Note: IMAGE BELOW IS NOT DRAWN TO SCALE!
Given: Point E is the midpoint of AC and DF
Prove: ADEA AFEC
C
F
А
B
B
Answer:
more imformation?
Step-by-step explanation:
Plz help I am timed
What is the rule for this pattern?
7, 10, 5, 8, 3, 6, 1
A.start with 7 and add 3 repeatedly
B.start with 7 and subtract 5 repeatedly
C.start with 7 and alternate adding 3 and then
subtracting 5
D.start with 7 and alternate adding 5 and then
subtracting 3
Answer:
C
Step-by-step explanation:
Answer:
plus 3 minus 3
Step-by-step explanation:
pls answer this yall
2a-1+8b-12b+7a-12
12 cookies for 3 students rate and unit rate
Answer:
3:12 1:4
Step-by-step explanation:
Hope this helps! (^-^)
Answer: 4 cookies per student.
Step-by-step explanation:
his is a fraction equal to
12 cookies ÷ 3 students
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 3
12 cookies ÷ 3
3 students ÷ 3
=
4 cookies
1 student
=
4 cookies
student
= 4 cookies per student
8x + 13x
PLEAsE HLEP ME SLOVE THIS PLEASE SHOW WORK TO? THANK YOU
Answer & Step-by-step explanation:
Since they are like terms (meaning they are in the same form), you can add:
[tex]8x+13x=21x[/tex]
:Done
Please turn the sentence into an expression
3. twelve more than the sum of ten and a
number
Answer:
Do U-Turn
Step-by-step explanation:
Step-by-step explanation:
12+(10+x)
I hope this helps
Given 2x+4y=12 what is the x and y int
An angle turns through 75/360 of a circle. what is the measure of the angle?
Answer:
It is an acute angle....
The required measure of the angle through 75/360 of the circle is 75°.
What are the angle?Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant.
Since 75/360 of the circle represents the rotational factor as it describes is 75 part of 360 and 75 in the expressions is the angle measure.
Thus, the required measure of the angle through 75/360 of the circle is 75°.
Learn more about Angles here:
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please solve this i will give you brainliest
Answer:
1
Step-by-step explanation:
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Ise9urgyobrhrstbydfdsfwefwefsdfewfds
27/15 = 72/a ASAP plz help
Answer:
[tex] \frac{27}{15} = \frac{72}{a} \\ \\ 27 \times a = 15 \times 72 \\ \\ a = \frac{1080}{27 } \\ \\ a = 40[/tex]
Enter an Integer to represent the situation.
a $535 profit
Answer:
67
Step-by-step explanation:
Took a test
Factors of 121 what do you think ???
Step-by-step explanation:
[tex]121 = 11 \times 11[/tex]
1, 11 and 121
If ll m, find the value of each missing variable(s) .
Answer:
1. m=5
2. 2(8x+11)
3.m=7
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(-3, 8) and (-8,2)
Answer:
[tex](\frac{-11}{2},5)[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlg I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point (-3, 8)
Point (-8, 2)
Step 2: Solve for midpoint
Substitute: [tex](\frac{-3-8}{2},\frac{8+2}{2})[/tex]Subtract/Add: [tex](\frac{-11}{2},\frac{10}{2})[/tex]Divide: [tex](\frac{-11}{2},5)[/tex]Answer:
The answer is (-5.5, 5)
In which pair do both decimals represent rational numbers?
O A. 0.296 and 0.9888...
B. 4.462837305718274... and 0.9888
O C. 6.32891237302554... and 0.9888...
D. 6.32891237302554... and 0.296
Answer:
Step-by-step explanation:
Option A. 0.296 and 0.9888 is correct because rational no are terminating and repeating ..