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3 years ago

What is the answer to 0.021 g = 21

Mathematics

1 answer:

sashaice [31]3 years ago

3 0

0.021g = 21 mg (milligrams)

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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

3 years ago

Read 2 more answers

which of the ordered pairs is a solution of the given system? y=3x-2 y=-x A.(2,9)B.(1,4)C.(1/2,-1/2)

lesantik [10]

Step-by-step explanation:

7 0

3 years ago

Find m<LMN if m<LMT=23 degree and m<TMN=144 degree

rodikova [14]

Answer:

∠LMN = 167°

Step-by-step explanation:

∠LMT = 23°

∠TMN = 144°

∠LMN = ∠LMT + ∠TMN

∠LMN = 23° + 144°

∠LMN = 167°

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3 years ago

Otis has $6.72, and he wants to buy some pencils that cost $1.12 each. How many pencils can he buy?

eduard

Answer:

Otis can buy 6 pencils...

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2 years ago

-6+7x =-2x+57 What is this?

crimeas [40]

Answer:

x = 7

Step-by-step explanation:

-6+7x = -2x+57

+6+2x +2x+6

9×/9 = 63/9

× = 7

8 0

3 years ago