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ivanzaharov [21]
3 years ago
12

Clara has a package of six cookies she wants to share equally among her friends.

Mathematics
1 answer:
gladu [14]3 years ago
8 0
She would atleast have 30 friends
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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
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Anyone able to help<br> Just question 6 please
Zinaida [17]

Answer:

C)

Step-by-step explanation:

Have a great day

3 0
3 years ago
ROUND 43.0810194943 TO THE NEAREST TEN-THOUSANDTH HELP!
REY [17]
43.0810
Since the hundred thousandths is a 1 which is less than a 5, you have to round down.
3 0
3 years ago
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A balloon rose 32 feet in the air. Then it fell to the ground.​
Maslowich

Answer:

A balloon rose 32 feet in the air then it fell down to the ground

Step-by-step explanation:

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2 years ago
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Find the area of the court<br><br>​
Romashka [77]

Answer:

7.4.      I BELIEVE...sorry if i did it wrong

Step-by-step explanation:

1 2/3 + 1 2/3 = 3.33333333

2 + 2 = 4

3.333333 + 4 = 7.333333

7.333333 rounded would be 7.4

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