She expects to have $2710591.78 when she retires at age 65 with the principal amount is 398100, the interest rate is 8%, time period is 24 and number of times interest applied is 3 by the concept of compound interest.
What is compound interest?Interest that is paid on the principal and interest at regular periods is known as compound interest. The interest is calculated for the new principal at regular intervals after the interest that has already accumulated has been combined with the existing principal amount. The initial principal plus the interest that has accrued thus far are added together to form the new principal.
Interest on the principal + periodic compound = compound interest.
According to the question the principal amount is 398100, the interest rate is 8%, time period is 24 and number of times interest applied is 3.
Here the interest is compounded every 4 months
So, the formula of compound interest is as follows:
A=p (1+ [tex]\frac{r}{n}[/tex]) ∧ (n× t)
Where P is the principal balance, r is the interest rate, n is the number of times interest is compounded per year and t is the number of years.
Here the interest is compounded every 4 months hence the value of n is 12/4 which is equal too 3.
Insert the values of p, n, t, r in above equation,
A=398100(1+[tex]\frac{8}{300}[/tex]) ∧ (3×24)
A=398100× (1.027) ∧ (72)
A=398100×6.809
A=2710591.78
She expects to have amount $2710591.78 when she retires at age 65.
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The total length of a road trip was 15.6 hours. If highway signs are posted every 0.06 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?
Answer:
The answer is 260.
Step-by-step explanation:
15.6/.06=260.
Find f. (Use C for the constant of the first antiderivative and D for the constant of the second antiderivative.) f ''(x) = 2x + 5ex
Answer:
Step-by-step explanation:
f ''(x) = 2x + 5e^x
f '(x) = x² + 5e^x + D
f (x) = 1/3 x³ + 5e^x + C
44,652 divided by 47
Answer: 950. 042553
Step-by-step explanation: Calculator
You make 12 equal payments. You pay a total of $1752. How much is each paymem?
HELP PLS
Answer:
$146
Step-by-step explanation:
1752/12 = 146
0000 PLEASE ASAP HELPPPPP
Each side of quadrilateral TVWX is tangent to circle Y. Find the perimeter of the quadrilateral.
9514 1404 393
Answer:
25.6
Step-by-step explanation:
The sum of opposite sides of the circumscribing quadrilateral is half the perimeter. Here, the opposite sides TV and WX both are shown, so the perimeter is ...
P = 2(TV +WX) = 2(4.5 +8.3) = 2(12.8) = 25.6 . . . units
The perimeter of the quadrilateral is 25.6 units.
The question is on the problem no links please I will give brainliest
Answer:
54 cm ^ 2, 75.6 cm ^ 2, 129.6 cm ^ 2
Step-by-step explanation:
Equation for a triangle is A = (1/2) * b * h
Area of small triangle on the left: 0.5 * 9 * 12 = 54 cm ^ 2
Area of small triangle on the right: 0.5 * 12.6 * 12 = 75.6 cm ^ 2
Area of entire triangle: 54 + 75.6 = 129.6 cm ^ 2
A random sample of house sizes in major city has a sample mean of
Answer:
A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:
Kevin collects rain water in a container shaped like a rectangular prism. After a thunderstorm, he notices the container is two-thirds of the way full. How much rain water is in the container?
Answer:
Step-by-step explanation:
A cylinder with a radius of 2 yd and a height of
3 yd.
Answer:
20 π
Step-by-step explanation:
The surface area of a cylinder is made up of 2 circles and its side.
To find the circles' areas, use the area formula for a circle: A = π.
Since our radius is 2 yd, we can substitute r = 2 into this formula.
A = π = 4π
Now remember, this is only the area of once circle. Multiply 4π by 2 to get the area of both circles: 8π.
Now we need to find the surface area of the side.
If we flatten it out, we can see that the side is actually a curled up rectangle.
The length is the circumference of the circle and the width is the height of the cylinder.
To find the circumference, use the circumference formula for a circle: C = 2πr.
Substitute r = 2 into the formula.
C = 2π2 = 4π
Now that we know that the length is 4π, we can multiply the length by the width to find the area of the cylinder's side.
l = 4π
w = 3
A = lw = 4π * 3 = 12π
Finally, we can add the areas of the circles and the side to get the total surface area.
8π + 12π = 20π
And that is your answer!
Please mark as Brainliest! :)
Which of the fractions below is closest to zero?
a. 1/2
b. 1/6
c. 1/9
d. 1/12
Answer:
d.) 1/12
Step-by-step explanation:
As it is equal to 0.083 and it is nearest to zero
Answer:
d. 1/12
Step-by-step explanation:
Since all of the fractions are positive and you want the one closest to 0, you need to find the smallest fraction. With fractions, especially when all of the numerators are 1, the larger the denominator becomes, the smaller the fraction. 12 is the largest denominator; therefore, 1/12 must be the smallest fraction. Which makes 1/12 the closest to 0.
What is the unit rate for the following rate: 5 pounds of potatoes costs $10
Answer:
$2 per round of potatoes
Step-by-step explanation:
$10/5 pounds of potatoes= $2
Help me pleaseeee!!!! PLEASEEE
Answer:multiply each side to each other
Step-by-step explanation:yea
write down the street name used on this statement
PLEASE PLEASE PLEASE HELPPPPP
Answer:
Step-by-step explanation:
B beacuse I did this before..
2. What is the acronym we use to remember the 7 most common
conjunctions? *
O FLAPELS
O FANBOYS
O FLAPGIRL
OSYOBNAF
Answer:
fanboys
Step-by-step explanation:
for
and
nor
but
or
yet
so
Logarithmic Functions have what type of asymptote?
O Horizontal
O Vertical
Answer:
Both the square root and logarithmic functions have a domain limited to xx-values greater than 00. However, the logarithmic function has a vertical asymptote descending towards −∞−∞ as xx approaches 00, whereas the square root reaches a minimum yy-value of 00. The range of the square root function is all non-negative real numbers, whereas the range of the logarithmic function is all real numbers.
NEEDEDASAP PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
16. 150ft
17. 120ft
18. 14sq in
19. 12ft
20. 100miles
21. 87ft
22. 24in 23. 31in
Step-by-step explanation:
brainliest?
coefficent of 6x is what
x
6
1
Answer:
X
Step-by-step explanation:
common sense
Find the total surface area of the cylinder below.
Answer:
83.54 in²
Step-by-step explanation:
Brₐinliest plz
X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining
Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then
P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)
… = P(-0.32 < Z < 0.32)
… = P(Z < 0.32) - P(Z < -0.32)
… ≈ 0.6255 - 0.3745
… ≈ 0.2510
where Z is normally distributed with mean 0 and s.d. 1.
• • •
Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,
[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]
Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.
The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have
P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))
… = P(-1.6 < Z < 1.6)
… = P(Z < 1.6) - P(Z < -1.6)
… ≈ 0.9452 - 0.0548
… ≈ 0.8904
please please help!!
Answer:
A family buys 6 tickets to a show. they also pay a $3 parking fee. they spend $27 total.
Will tutors ever come back??
Answer:
Step-by-step explanation:
I don't think so
what is 3 1/4 x 3 2/5
Step-by-step explanation:
Exact Form:
2485"
Decimal Form:
49.6"
Mixed Number Form:
4935"
help. Set up an equation in use it to solve for X
Answer:
4x+3=83
-3:-3
-----------------
4x=80
x=20
Step-by-step explanation:
pls answer a b and c
Answer:
Given
r = 1.6 cmh = 6.2 cma.
Volume of the half-sphere:
V/2 = 1/2*4/3*πr³ = 2/3*3.14*1.6³ = 8.6 cm³ (rounded)b.
Volume of the cylinder:
V = πr²h = 3.14*1.6²*6.2 = 49.8 cm³c.
Volume of the figure:
V = 8.6 + 49.8 = 58.4 cm³does anyone know 7-10 ??
Answer:
Step-by-step explanation:
7.18/9 divide 9 and that would equal 2/1 so its 2
8.24/40 divide 8 and that would equal 3/5
9.7/21 divide 7 and that would equal 1/3
10.9/1 stays the same so its 9
Steve sold 36fruit baskets for a school fundraiser. Edie sold 25% of the number of baskets that Steve sold
Answer:
Edie sold 9 fruit baskets
Step-by-step explanation:
Decide whether 2x+8 and 2(x+4)+4 are equivalent expressions. Explain how you know
Answer:
2x+8 and 2(x+4)+4 are not equivalent expressions
Step-by-step explanation:
Firs we need to expand 2(x+4)+4 using the distributive law as shown;
2(x+4)+4
=2(x) + 2(4) + 4
= 2x + 8 + 4
= 2x + 12
Since the result is not equivalent to 2x+8 hence 2x+8 and 2(x+4)+4 are not equivalent expressions
Are these ratios equivalent?
1 teacher to 9 students
5 teachers to 45 students
Answer: yes the ratios 1:9 and 5:45 are equivalent.
Step-by-step explanation:
1:9*5:5=5:45
U got any more math questions that I can answer? I’m really bored and I have to stay busy!