ASAP PLEASE HELP!!!!

17. Tiana deposited $500 into an

Ivahew [28]

Answer:

In 50 years the amount will be $ 2000.

Step-by-step explanation:

Tiana deposited $500 into a account at 6 % simple interest per Year .

Therefore, Principal (P) is $500

Amount (Principal + Interest) = $2000

Interest (I) = $2000 - $500 = $1500

Rate percentage (R) = 6% per Year

Let, The time be T years

Now, I = $\frac{P . R . T}{100}$

Or, T = $\frac{100. I }{P . R}$

Or, T = (100×1500 ) ÷ ( 500× 6 )

∴ T = 50 Years

3 0

3 years ago

Rich is comparing the cost of maintaing his car with the depreciating value of the car. When will the cost and value be the same

goldfiish [28.3K]

Complete question:

Rich is comparing the cost of maintaining his car with the depreciation value of the car.

The value starts at $20,000 and decreases by 15% each year. The maintanance cost is $500 the first year and increases by 28% per year.

When will the maintenance cost and the value be the same.

Answer:

9 years

Step-by-step explanation:

Depreciation is modeled by an exponential function :

A = p(1 - r)^t [decrease, '-']

A = 20,000(1 - 0.15)^t

A = 20000(0.85)^t - - - (1)

Maintainace cost :

A = p(1 + r)^t ; [increase, '+']

A = 500(1 + 0.28)^t

A = 500(1.28)^t - - - (2)

Equating (1) and 2

20000(0.85)^t = 500(1.28)^t

1.28^t / 0.85^t = 20000/500

(1.28 / 0.85)^t = 40

Take log of both sides

Log (1.28 / 0.85)^t = log 40

t * 0.1777910 = 1.6020599

t = 1.6020599 / 0.1777910

t = 9.01

t = 9 years

8 0

3 years ago

Consider the arithmetic sequence 13, 16, 19, 22, 25, ... What is the 60th term in the sequence?

Pavel [41]

Answer:

180

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft sho

trasher [3.6K]

Answer:

see below

Step-by-step explanation: 5 23 8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg = x

longer leg = x + 9

hypotenuse = 2x - 9

Pythagorean theorem = a² + b² = c²

shorter-leg² + longer-leg² = hypotenuse²

x² + (x+9)² = (2x - 9)² solve for x

x² + (x+9) (x+9) = (2x - 9)(2x - 9)

x² + (x²+18x+81) = (4x² - 36x + 81)

(2x²+18x+81) = (4x² - 36x + 81)

0 = 2x² -54x

0 = x(2x - 54)

0 = x and 0 = 2x -54

54 = 2x

27 = x

shorter leg = 27

longer leg = 36

hypotenuse = 45

divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct

6 0

3 years ago

(Right angle) Trigonometry please help!

kozerog [31]

Answer:

A = 41.4°

Step-by-step explanation:

Reference angle = A

Length of Adjacent side = 6

Length of Hypotenuse = 8

Apply the trigonometric function, CAH.

Cos A = Adj/Hyp

Substitute

$Cos(A) = \frac{6}{8}$

$A = Cos^{-1}(\frac{6}{8})$

A = 41.4° (approximated to the nearest tenth)

7 0

3 years ago