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3 years ago

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The cone shown below has a slant height of 15 centimeters and a height of 12 centimeters. What is the volume of the cone? A 113.

04 cm3 B 1017.36 cm3 C 188.4 cm3 D 2260.8 cm3

1 answer:

aleksley [76]3 years ago

7 0

Answer:

it should be C.188.4

Step-by-step explanation:

i hope it helps :) <3

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Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. <u>1 choice:</u> P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

<u>2 choice:</u> P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

2 years ago

Read 2 more answers

Aleks04 [339]

$\frac{3}{10}$

Answer:

^^

Step-by-step explanation:

I just pressed 27/90 on the calculator hahahha

6 0

2 years ago

Read 2 more answers

Which series of transformations will not map figure H onto itself?

chubhunter [2.5K]

Answer:

(x + 0, y − 2), reflection over y = 1

Step-by-step explanation:

H will be shifted down 2 units and then reflected over y = 1, which maps H into itself

3 0

3 years ago

Solve for x.<br> I was sure the answer was 2?<br> Please show me the breakdown. THX

Murljashka [212]

Answer:

x = 8 and y = 10

Step-by-step explanation:

Since the figures are congruent:

Angle PQR = EFG

6y + x = 68

Segment QR = FG

2x - 4 = 12

Solving that:

2x - 4 = 12

2x = 16

x = 8

Replacing x in 6y + x =68

6y + 8 = 68

6y = 60

y = 10

7 0

3 years ago

-3(8n - 5) - 2n = 8n - 21

BigorU [14]

Answer:

Step-by-step explanation:

First you do the parentheses so the -3 x 8n= -24 and -3 x -5= 15

so it will look like this. -24n+15-2n=8n-21

Now combine like terms the -24n-2n.

-26n+15=8n-21 now subtract 8n now it will look like this

-34n+15=-21 now -15 from -21

-34n=-36

now if you want n by its self divide -34 and -36

7 0

2 years ago