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3 years ago

17, 25, 23, 200, 14 Mean Median Mode

Mathematics

1 answer:

alexandr402 [8]3 years ago

6 0

Answer:mean- 55.8

Median-23

Mode:none

Step-by-step explanation:

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

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

2 choice: 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

3 years ago

Read 2 more answers

Help pls. Three sodas cost$4.50 at a convenience store. How many would it cost to buy 10 sodas at the same price.

soldier1979 [14.2K]

Answer: $15.00

Step-by-step explanation: If 3 sodas cost you $4.50 then you divide it by 3 to get $1.50 per soda. Then you multiply the number by ten to get $15.

5 0

2 years ago

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What are the solutions to the equation? x² + 3x - 54

algol13

Answer:

x = - 9, x = 6

Step-by-step explanation:

Given

x² + 3x - 54

To find the solutions equate to zero

x² + 3x - 54 = 0 ← in standard form

(x + 9)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 6 = 0 ⇒ x = 6

7 0

3 years ago

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Solve the equation 0.2(d-6)=0.3d+5-3+0.1d for d

WINSTONCH [101]

Answer:

d= -16

Step-by-step explanation:

To answer this question you'll have to first simplify the equation to

0.2d+-1.2=0.3d+5-3+0.1d

then combining like terms you get

0.2d-1.2=(0.3d+0.1d)+(5+-3)

0.2d-1.2=0.4d+2

then subtract 0.4d from both sides leaving you with

-0.2d-1.2=2

then add 1.2 to both sides

-0.2d=3.2

after you divide both sides by -0.2

leaving you with the answer

D= -16

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3 years ago

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What is the distance in feet if you runs 8.05 kilometers every day?

Sveta_85 [38]

You run 26410.76 ft every day

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4 years ago