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3 years ago

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A recipe uses 5 cups of flour , Nadia is making 1/2 of the recipe . How many cups of flour does Nadia need ? Move numbers to the

boxes to show the answer . If there is no whole number , put a in the first box

1 answer:

fredd [130]3 years ago

3 0

Answer:

2.5 rounds to 3

Step-by-step explanation:

5 divided by (or 5/2) 2 is 2.5 and since its not a whole number you rounded by the ones and you get 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

3 years ago

Read 2 more answers

Bob works at a construction company. He has an equally likely chance to be assigned to work diffrent crews every day. He can be

Sergio [31]

The answer is 6 times

7 0

4 years ago

Is 1.7 greater than 1 7/9

Simora [160]

17 = 1 7/10

1.7 < 1 7/9

1.7 is less than 1 7/9

3 0

4 years ago

Read 2 more answers

Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.

PIT_PIT [208]

Answer: The approximate area of the circle is: <span>3,629.84 cm² .</span>
______________________________________________________
Area of a circle, "A" : A = π * r² ;

in which: A = Area of circle ;
π <span>≈ 3.14 ;
</span> r = radius;

radius of a circle, "r" = d / 2 ; in which: "d = diameter" ;

Given "d = 64 cm " ;

r = d / 2 = 64 cm / 2 = 32 cm ;
____________________________________________
So; A = π * r² ;

A ≈ (3.14) * (32 cm)² ;

A ≈ (3.14) * (1156 cm²) ;
_____________________________________________

A ≈ 3,629 .84 cm² .
_____________________________________________

3 0

3 years ago

Billy did a survey to answer the following question:

kogti [31]

Answer:

7.8

Step-by-step explanation:

Since the average is 7.8 and everyone scored the same score so

that means everyone scored a 7.8

4 0

3 years ago