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melamori03 [73]
3 years ago
11

Lucy deposited $1,000 into an account that earns 2.5% compound interest, compounded yearly. How much interest will Lucy earn aft

er 8 years?
my answer is $1218.40 but supposedly it's wrong.
Mathematics
1 answer:
dexar [7]3 years ago
4 0

Answer:

the balance in the account after 20 years is $819

Step-by-step explanation:

The computation of the balance in the account after 20 years is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $500 × (1 + 2.5%)^20

= $500 × 1.025^20

= $819

Hence, the balance in the account after 20 years is $819

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For the following right triangle, find the side length x.<br> X<br> 9<br> 12
Sati [7]

Answer:

it's the square root of 63 and I'd assume rounding to the tenth but I dont know how ur teacher does it.

Step-by-step explanation:

find a calculator if u have one then solve for the square root of 63. this method is called the pythagorean theorem that i used

7 0
3 years ago
Kathy is baking 3 apple pies. Each pie requires 2 3/4 pounds apples. Apples cost $2.49 a pound. About how much will Kathy spend
salantis [7]

<em>Answer</em><em>:</em>

<em>$</em><em>2</em><em>0</em><em>.</em><em>5</em><em>5</em>

<em>Explanation</em><em>:</em>

  • 1apple pie needs 2/3/4pounds of apple
  • 1pound cost $2.49
  • 2/3/4 = ?
  • 2/3/4 ×2.49
  • =$6.85 for one pie
  • For 3 pies ,
  • =$6.85×3
  • = $20.55
8 0
3 years ago
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink
ddd [48]

Answer:

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

Step-by-step explanation:

Let, the company make x liters of drink A

The company makes drink B of (80+x) liter. Since the company make 80 more liters of Drink B than liters Drink A .

Given drink A contains 20% real fruit.

Therefore x liters of drink A contains =\frac{20}{100}\times x liters=\frac{x}{5} liters real fruit.

Drink B contains 5% real fruit juice.

(80+x) liters of drink B contains =\frac{5}{100}\times (80+x) liters =\frac{80+x}{20} liter real fruit.

The company used 56.5 liters of real fruit juice to make Drink A and Drink B.

According to the problem,

\frac{80+x}{20}+\frac{x}{5}= 56.5

\Rightarrow \frac{80+x+4x}{20}=56.5

⇒80+5x = 56.5×20

⇒80+5x=1130

⇒5x=1130-80

⇒5x=1050

\Rightarrow x=\frac{1050}{5}

⇒x=510

Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.

                                                           

4 0
3 years ago
Can someone please help me with this math question
lora16 [44]

Answer:

C'(4,4)

Step-by-step explanation:

The dilation of quadrilateral ABCD over the origin by a scale factor of 2 has the rule

(x,y)→(2x,2y)

So,

  • A(-3,-1)→A'(-6,-2)
  • B(-1,1)→B'(-2,2)
  • C(2,2)→C'(4,4)
  • D(3,-2)→D'(6,-4)

Hence, the coordinates of the image point C' are (4,4) (see attached diagram for details)

8 0
4 years ago
Read 2 more answers
How many solutions are there to the following system of equations? <br> 3x-9y=0<br> -x+3y=-3
Komok [63]
This equation has no solution.
4 0
3 years ago
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