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evablogger [386]
3 years ago
6

Abby Mia wants to know how much must be deposited in her local bank today so that she will receive yearly payments of $18,000 fo

r 20 years at a current rate of 9% compounded annually. (Use the tables found in the textbook.)
Mathematics
1 answer:
muminat3 years ago
6 0
We are not given tables, so will just use the amortization formula.
P=\frac{A*((1+i)^n-1)}{i*(1+i)^n}
where 
P=amount to be deposited today, to be found
A=amount withdrawn each year=18000
i=Annual interest=9%
n=number of years = 20

Substituting values,
P=\frac{A*((1+i)^n-1)}{i*(1+i)^n}
=\frac{18000*((1+0.09)^{20}-1)}{0.09*(1+0.09)^{20}}
=164313.82   to the nearest cent
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5 0
3 years ago
Tania is buying a guitar. Guitar Central has 20% off coupons available, and has the guitar Tania wants for $349. Music Mart has
Ksju [112]

Answer:

Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.

Step-by-step explanation:

Since Tania is buying a guitar, and Guitar Central has 20% off coupons available, and has the guitar Tania wants for $ 349, while Music Mart has the guitar Tania wants for $ 419, but is offering a $ 200 rebate, to determine which is the better deal the following calculations must be performed:

Guitar Central

100 - 20 = 80

349 x 0.8 = X

279.20 = X

Music mart

419 - 200 = X

219 = X

Therefore, Music Mart offers a better deal, given that the price of the guitar is $ 219 compared to $ 279.20 for Guitar Central.

7 0
3 years ago
An odd number between 301 and 370 has three different digits. If the sum of its digits is five times the hundreds digit, find th
damaskus [11]
For the answer to the question above, <span> 
5x3 (the hundreds digit)= 15
so 3+x+y=15. 15-3=12. x+y=12.
No even number + odd number can be = 12, so both digits must be odd.
That leaves us with 3+3+z=15, 3+3+x =15 and 3+5+y= 15. 3+1+9 (highest odd digit)= 13 so that is wrong.
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5 0
3 years ago
Plssssss help giving brainliest
ioda

Answer:

ask your teacher

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP!!!
AlekseyPX

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = \frac{m(b) - m(a)}{b - a}

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = \frac{4 - (-12)}{2 - (-2)}

= \frac{16}{4}

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = \frac{n(b) - n(a)}{b - a}

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = \frac{6 - (-6)}{2 - (-2)}

= \frac{12}{4}

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = \frac{q(b) - q(a)}{b - a}

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = \frac{-12 - (-4)}{2 - (-2)}

= \frac{-8}{4}

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = \frac{p(b) - p(a)}{b - a}

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = \frac{-4 - 12}{2 - (-2)}

= \frac{-16}{4}

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

3 0
3 years ago
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