Justin is going to invest $31,000 and leave it in an account for 7 years.
Assuming the interest is compounded quarterly, what interest rate, to the
nearest tenth of a percent, would be required in order for Justin to end up
with $45,000?

Answers

Answer 1

Answer:

5.4 percent

Step-by-step explanation:


Related Questions

This is for my hw and I am so confused on how to do this. Please someone help me asap!!!!!!!!!

Answers

Answer:

I GOT IT WRONG SORRY IMMA TRY AGAIN, what's the directions?

J.V. Lin is an Olympic athlete competing in the women's javelin throw. The distances of her successful throws (in meters) are normally distributed with mean distance 60 meters and standard deviation 4 meters. (Round to the nearest percent and enter each of your answers as a whole number between 0 and 100.) (a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance? probability = ________%(b) (3 points) The current leader in the Olympics finals has thrown a distance of 66.5 meters. J.V. Lin has one attempt left to beat the leader's throw. What's the probability that Lin beats this throw? probability _______%

Answers

Answer:

a) 50%

b) 5%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with mean distance 60 meters and standard deviation 4 meters.

This means that [tex]\mu = 60, \sigma = 4[/tex]

(a) (2 points) What is the probability that on her first throw, J.v. Lin beats her mean distance?

This is, as a proportion, 1 subtracted by the pvalue of Z when X = 60. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 60}{4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

1 - 0.5 = 0.5

0.5*100% = 50%

50% probability.

(b) (3 points) The current leader in the Olympics finals has thrown a distance of 66.5 meters. J.V. Lin has one attempt left to beat the leader's throw. What's the probability that Lin beats this throw?

This is 1 subtracted by the pvalue of Z when X = 66.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{66.5 - 60}{4}[/tex]

[tex]Z = 1.63[/tex]

[tex]Z = 1.63[/tex] has a pvalue of 0.95

1 - 0.95 = 0.05

0.05*100% = 5%

5% probability.

HELP FAST!!!!!

Which of the following expressions is equivalent to 6^-7

A: 1/(-6)^-7
B: 1/6^7
C: (-6)^-7
D: 1/6^-7

Answers

Answer:

B. ) 6^-7 = 1/6^7

Step-by-step explanation:

B.) is the only correct one

Jason grew from 36 inches to 40 inches in 1 year. By percent did his growth increase? Round your answer off to the nearest tenths!

Please show how

Answers

Answer:

i do not know

Step-by-step explanation:

Which table or graph shows the value of y going down as the value of x goes
up?

Answers

Answer:

A

Step-by-step explanation:

That's your answer...

dang u fail gonna fail i feel baaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaad.......

just look at the one that has the letter x going up it is c or d

Karim began his day by drinking 1 1/8

cups of milk at breakfast. By the end of the day, he drank a total of 2 2/3

cups of milk.


Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?

Answers

Answer:

A. 1⅛ + m = 2⅔

[tex] m = 1\frac{13}{24} [/tex]

Step-by-step explanation:

Cups of milk at breakfast = 1⅛

Cups of milk after breakfast = m

Total cups of milk by the end of the day = 2⅔

Thus:

Total cups of milk by the end of the day = cups of milk at breakfast + cups of drink after breakfast

Therefore:

1⅛ + m = 2⅔ (equation)

Solve for m

Subtract 1⅛ from each side

m = 2⅔ - 1⅛

Convert to improper fraction

m = 8/3 - 9/8

m = (64 - 27)/24 = 37/24

[tex] m = 1\frac{13}{24} [/tex]

write the ordered pair for each point. PLS! I will give 20 points did correct same goes with brainliest. DO NOT TYPE THAT YOU DON'T KNOW OR I WILL FLAG, REPORT AND GET MAD!

Answers

Answer:

M=(0.75,1.25)

H=(-1.5,-0.5)

D=(1,-1.75)

Step-by-step explanation:

Hope this helps.

Given that a = 1, b = 2, and C = -3, evaluate
ab²- ac²/ 2bc​

Answers

Answer:

5/12

pls Mark as brainliest

Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) left parenthesis, z, right parenthesis she can raise with 10 dark power crystals.

Answers

Answer:

So.. Liliana used 4 crystals to race 14 zombie soldiers.

14 / 4 = 3.5. She can race 3.5 zombie soldiers if she uses 1 crystal. So, all you need to do it multiply 3.5 by 10 and you end up with 35.

So, Liliana is able to race 35 zombie soldiers with 10 power crystals.

Glad I could help!

Step-by-step explanation:

if you saw one of your best friends getting bullied what would you do would you A help him/she B Just walk away C ask someone else for help D laugh at him cause I would help

Answers

Answer:

A. help him/her

funny story, i once got into trouble for defending my friend from being bullied and the person doing the bullying didn't get punished smh

Answer:

a

Step-by-step explanation:

duhh

PLEASE PLEASE PLEASE!

Answers

Answer:

70

Step-by-step explanation:

The area of one of the four triangles is [tex]\frac{1}{2}\times 5 \times 7 = 17.5[/tex]. So together the area of all the four traingles is [tex]4\times 17.5 = 70[/tex]

What is the area of this square?

Answers

The area is x^2
Basically x squared because it is multiplying x by its own number, x. Anything that is multiplied by its own value is squared.

Find the measure of 43.
92 88°
43
88
43 = [?]
please help I will give you brainlist just no links

Answers

Answer:

88°

Step-by-step explanation:

Because, vertically opposite angles are equal

I need help. correct answer gets brainliest

Answers

Answer:

can you zoom in on it

Step-by-step explanation:

Does anyone have an answer or can help

Answers

Answer:

set them equal to each other and solve for x

Step-by-step explanation:

Find the area of the polygon.

Answers

Answer:

Step-by-step explanation:

A = (7 + 4)(24) ÷ 2 = 132 units²

Pleaseeeeee helppppp

Answers

Answer:

539 cubed for the volume, and the base could be either 77 or 49 squared.

Step-by-step explanation:

7x7x11= 539

7x7 is 49

7x11 equals 77

1. There are 15 students in the art club. They all purchased 4 paintbrushes at $3 each. How many paintbrushes did they purchase?​

Answers

Answer:

60?

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

15x4 equals 60

Please answer quick just super small explanation pls hurry quick for brainlessly

Answers

Answer:

A = 81

Step-by-step explanation:

When there is a number above the other. You will need to multiply it.

There is   a 4 so its 4 times.

-3 x -3 = 9

9 x -3 = -27

-27 x -3 = 81

------

When you multiply a negative number by a negative number it will be a positive.

If you multiply a positive number by a negative it will be negative.


The quotient of 6 and a
number (n)

Answers

Answer:

n divided by 6 (n/6)

Step-by-step explanation:

The mathematical expression for 'the quotient of 6 and a number (n)' is, 6/n or (6 ÷ n).

Used the concept of mathematical expression which can be stated that,

A mathematical expression is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that,

The algebraic expression is,

''The quotient of 6 and a number (n).''

Now, the mathematical expression for 'the quotient of 6 and a

number (n)' is,

6 ÷ n

= 6 / n

So, the mathmatical notation is 6/n.

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

construct a triangle with is side ab 6.5 cm BC as 4cm and angle b as 120°​

Answers

Answer

A triangle can be constructed if we are given 2 sides and an angle. For these ... AB=4 cm, Angle A =30˚, AC=5 cm. 2.) BC=3 cm, Angle B=80˚, BA=6 cm ... Angle A=20˚, AC=6.5 cm, Angle C=90˚ ... Angle A=25˚, Angle B=120˚, Angle C=35˚.

Step-by-step explanation:

What is the correct answer I’m offering brainalist + 10 points don’t just say A please can you explain to me why you chose what you chose

Answers

Answer:

Answer is Complementary.

Step-by-step explanation:

This is because complementary angles add up to 90 degrees. In this example, the angles are exactly 45 degrees. Therefore, because there are two angles 45 * 2 is 90. Answer is B.

Answer:

D. vertical

Step-by-step explanation:

We can rule out A and B because they wont equal 180 or 90 they will be somewhere in between. We can rule out C because those are acute angles. So we are left with D. These angles are vertical because they are opposite angles made by two intersecting lines and they have equal values.

HELP please :)!!!!!!!!!!!!!!!!!!!!!!!!!!!!!asap

Answers

Answer:

B

Step-by-step explanation:

7100-3100

not sure though

Brainless brainless brainless

What is 6 less than a number t is 7?

Answers

Answer:

t-6=7

Step-by-step explanation:

Answer:

6-t=7

Step-by-step explanation:

The National Safety Council publishes information about automobile accidents in Accident Facts. According to that document, the probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant. In eight traffic fatalities, find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

Answers

Answer:

[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that [tex]p = 0.4[/tex]

Eight traffic fatalities

This means that [tex]n = 8[/tex]

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]

Based on the binomial probability principle, the probability involving the number of non-occupant is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]

Let :

Number of alcohol - impaired or non-occupant = kNumber of trials, n = 8Probability of success, p = 0.40q = 1 - p = 1 - 0.40 = 0.60

Using the binomial probability relation :

[tex] P(x = x) = nCx \times p^{x} \times q^{n-x} [/tex]

x = k

Substituting the values into the relation :

[tex] P(x = k) = nCk \times 0.40^{k} \times 0.60^{n-k} [/tex]

Hence, the required probability expression is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]

Learn more :https://brainly.com/question/23287510

Umm I am sooooo confused what is the shape called pls pls pls help!!!!

Answers

Pentagon..............

Answer:

its a pentagon thoses have five sides  

Step-by-step explanation:

: What does the value of f(3) represent in the given context?

A.
After 4 bounces the height of the ball is 3 feet.

B.
After 4 bounces the height of the ball is 4 feet.

C.
After 3 bounces the height of the ball is 3 feet.

D.
After 3 bounces the height of the ball is 4 feet.

Answers

Answer: D

Step-by-step explanation: on The graph it shows the height of the ball after 3 bounces is 4 feet

Which function has the greater maximum value, f(x) or g(x)?

Answers

Answer:

g(x) is correct because if you look at the top of each parabola graph, you'll see how the vertex (the point in the middle top of the parabola) is higher than the other vertex of the function f(x). The y-coordinate of the vertex is the max/mini value, the x- coordinate of the vertex is the line of symmetry.

I applied this to my own problem and got it correct! You can use d e s m o s to see how the graph looks, and compare them. Good Luck!

PLEASE HELP mathematics

Answers

Answer:

21+10.5 which would equal 31.5

Step-by-step explanation:

Answer:

21+10.5 which would equal 31.5

Step-by-step explanation:

Only answer if you know!!! Which expression represents 5 less than y? (1 point)
Oy-5
O 5-y
Oy
5
O5y-1

Answers

Answer:

5 less than y isn’t up there but if you mean 5 minus y it’s the second one, and y minus 5 is the first

Step-by-step explanation:

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