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Cloud [144]
3 years ago
14

Shaq deposited $77 into a savings account that pays annual simple interest. AT the end of the 6 years , he earned $24.02 in inte

rest. WHat is the interest rate on the savings account? ROund to the nearest 10th of a percent. Pease help me
Mathematics
1 answer:
aev [14]3 years ago
4 0

Answer:

Interest rate on the savings account=5.2%

Step-by-step explanation:

The simple interest amount is calculated using the formula below;

Simple interest amount=Principal×rate×time

where;

Principal=Initial deposit

rate=interest rate on the deposit

Time=number of years the money was deposited

In our case;

Principal=$77

Interest rate=r

Time=6 years

Simple interest amount=$24.02

Replacing;

$24.02=77×r×6

462 r=24.02

r=24.02/462

r=0.05199

In percentage=(0.05199×100)=5.199

Nearest 10th of a percentage=(10/100)=0.1

5.199 to the nearest 10th of a percent=5.2%

Interest rate on the savings account=5.2%

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The ages of three siblings combined is 27. The oldest is twice the age of the youngest. The middle child s three years older tha
tresset_1 [31]

Answer:

The ages of the children are 6, 9 and 12.

Explanation:

Let x= the age of the youngest child.

If the oldest child is twice the age of the youngest, the age of the oldest child is twice x or 2x.

If the middle child is 3 years older than the youngest, the age of the middle child is x+3.

If the sum of their ages is 27, then

x+2x+x+3=27aaa(Combine like terms)

4x+3=27aaa

aa−3a−3aaa(Subtract 3 from both sides)

4x=24

4x4=24aaa(Divide both sides by 4)

5 0
3 years ago
Read 2 more answers
Which of these scales are equivalent to 3 cm to 4 km? select all that apply. recall that 1 inch is 2.54 cm
AlladinOne [14]

Answer:

1. 0.75 cm to 1 km

4. 0.3 mm to 40 m

Step-by-step explanation:

we have the scale

\frac{3}{4}\frac{cm}{km}=0.75\frac{cm}{km}

<u><em>Verify each case</em></u>

case 1) 0.75 cm to 1 km

\frac{0.75}{1}\frac{cm}{km}=0.75\frac{cm}{km}

therefore

The scale is equivalent to the given value

case 2) 1 cm to 12 km

\frac{1}{12}\frac{cm}{km}=0.08\frac{cm}{km}

0.08\frac{cm}{km} \neq 0.75\frac{cm}{km}

therefore

The scale is not equivalent to the given value

case 3) 6 mm to 2 km

Remember that

1 cm= 10 mm

1 mm=0.1 cm

we have

\frac{6}{2}\frac{mm}{km}=\frac{0.6}{2}\frac{cm}{km}=0.30\frac{cm}{km}

0.30\frac{cm}{km} \neq 0.75\frac{cm}{km}

therefore

The scale is not equivalent to the given value

case 4) 0.3 mm to 40 m

Remember that

1 cm= 10 mm  -----> 1 mm=0.1 cm

1 km=1,000 m ----> 1 m=0.001 km

we have

\frac{0.3}{40}\frac{mm}{m}=\frac{0.03}{0.04}\frac{cm}{km}=0.75\frac{cm}{km}

0.75\frac{cm}{km}=0.75\frac{cm}{km}

therefore

The scale is equivalent to the given value

case 4) 1 inch to 7.62 km

Remember that

1 in= 2.54 cm

we have

\frac{1}{7.62}\frac{in}{km}=\frac{2.54}{7.62}\frac{cm}{km}=0.33\frac{cm}{km}

0.33\frac{cm}{km} \neq 0.75\frac{cm}{km}

therefore

The scale is not equivalent to the given value

6 0
3 years ago
381 1/10 -214 43/100
Jet001 [13]

Answer:

Exact Form:

16667 /100

Decimal Form:

166.67

Mixed Number Form:

166 67/100

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
please solve all of them Elaine bought a total of 15 shirts and pairs of pants She bought 7 more shirts then pants how many of e
mihalych1998 [28]

Answer

Question 1

4 pants

11 shirts

Question 2

Shady has 30 video games.

Preston has 19 video games.

Question 3

1 muffin costs $1.5

1 quart of milk costs $3

Explanation

Question 1

Let the number of shirts be s

Let the number of pants be p

She bought a total of 15 shirts and shirts

s + p = 15

She bought 7 more shirts than pants.

s = 7 + p

So, we can solve the simultaneous equation.

s + p = 15

s = 7 + p

Substitute for s in equation 1

s + p = 15

7 + p + p = 15

7 + 2p = 15

2p = 15 - 7

2p = 8

Divide both sides by 2

(2p/2) = (8/2)

p = 4 pants

s = 7 + p = 7 + 4 = 11 shirts

Question 2

Let the number of games Shady has be s

Let the number of games Preston has be p

Together, they have a total of 49 video games

s + p = 49

Shady has 11 more games than Preston.

s = 11 + p

So, we can solve the simultaneous equation.

s + p = 49

s = 11 + p

Substitute for s in equation 1

s + p = 49

11 + p + p = 49

11 + 2p = 49

2p = 49 - 11

2p = 38

Divide both sides by 2

(2p/2) = (38/2)

p = 19 video games

s = 11 + p = 11 + 19 = 30 video games

Question 3

Let the cost of a muffin be m

Let the cost of a quart of milk be q

The cost of 8 muffins and 2 quarts of milk is $18.

8m + 2q = 18

The cost of 3 muffins and 1 quart of milk is $7.50

3m + q = 7.5

So, we can solve the simultaneous equation

8m + 2q = 18

3m + q = 7.5

Solving this,

m = 1.5 dollars

q = 3 dollars

Hope this Helps!!!

3 0
1 year ago
What is the distance between -70 and -30 on<br> a number line?<br> units
german

Answer:

I would guess 40, I could be wrong.

Step-by-step explanation:

70-30=40. So it would be 40 units away from eachother.

4 0
3 years ago
Read 2 more answers
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