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3 years ago

Fred decides to think about retirement and invests at the age of 26. He invests $15,000 and hopes the investment will be

Mathematics

2 answers:

fgiga [73]3 years ago

6 0

Answer:

Step-by-step explanation:

Future value with continuous compounding ; FV = $Pe^{rt\\ } \\ 900,000 = 15,000e^{38r} \\ \\ \frac{900,000}{15,000} =e^{38r\\ }\\ \\ \\ 60 =e^{38r}$

Introduce ln on both sides of the equation

ln 60 = ln $e^{38r}$

note: ln $e^{x} = x$

Next, solve the equation;

4.09 = 38r

Divide both sides by 38 to solve for r;

4.09/38 = r

r= 0.107746 or 10.7746%

Therefore the rate would be 10.775% to the nearest a tenth of a percent.

Eddi Din [679]3 years ago

5 0

Answer:

10.8%

Step-by-step explanation:

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please help!!! Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 36 feet long. The fu

andrey2020 [161]

A.
y = 15 tan(30°)
y = 15/√3 ≈ 8.66 ft
b.
y = 15 tan(40°) ≈ 12.59 ft
c.
A = 1/2 base x height ≈ 129.9 ft² and 188.8 ft² for 30° and 40°
hope it helps

7 0

3 years ago

how many gallons of a 70% antifreeze solution must be mixed with 90gallons of 15% antifreeze to get a mixture that is 60% antifr

Alisiya [41]

Here is your answer

Add 315 gallons of 70% antifreeze to 90 gallons of 25% antifreeze to make a 60% mixture.

5 0

3 years ago

A homeowner is building a circular fire pit in his backyard. He plans to outline the pit with bricks and cover the space inside

saw5 [17]

Answer:

1) the exact distance = 9.428571429 feet

the approximate distance = 9.4 feet

2) the exact area = 7.071428571 ft^2

the approximate area = 7 ft^2

Step-by-step explanation:

Required diameter d = 3 feet

1) The distance around the outside of the pit is the circumference of the circle that will be formed by this circular fire pit.

circumference of a circle is given as = πd = $\frac{22}{7}$ x 3 = 9.428571429 feet

the exact distance = 9.428571429 feet

the approximate distance = 9.4 feet

2) The area of the circle that will be formed = $\pi d^{2}/4$ = $\frac{22 *3^{2} }{7*4}$ = 7.071428571 ft^2

the exact area = 7.071428571 ft^2

the approximate area = 7 ft^2

5 0

3 years ago

I need help with box and whisker plots ASAP

bonufazy [111]

Box and whiskers plots use five number summaries. The first number is:
1:Minimum
2.Quartile 1
3.Mean
4.Quartile 2
5.maximum

Quartile are simple to get.
If your set of numbers is:
2,3,3,6,8,8,11
Then find the mean
2 3 3 |6| 8 8 11
Find the mean of the left side of of mean.
2 |3| 3 3 =Quartile 1
Then the right side
8 |8| 11 8 =Quartile 2
-----------------------------------------------
Your 5 number summary is 2,3,6,8,11
Plot them on the number line, but put a line above where the dot would go. take the 3 middle lines and connect to make a box. The lines on the outside of the box are the whiskers, AKA distributed data.

8 0

3 years ago

PLEASE HELP ASAP

7nadin3 [17]

Answer

√7 × √5

√3 × √2

Explanation

√9*√16 = 3 × 4

= 12

= 12/1 ⇒ It is a rational answer.

√7*√5 = √(7×5)

= √35

= 5.916079783.... ⇒ Irrational

√3*√2 = √(3×2)

= √6

= 2.449489743... ⇒ Irrational

4√2*√2 = 4 × √(2×2)

= 4 × √4

= 4 × 2

= 8

= 8/1 ⇒ It is rational

The expressions that would give irrational answers are: √7*√5 and√3*√2

5 0

3 years ago