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juin [17]
3 years ago
11

Find the interest earned for $650 at 2% for 6 years

Mathematics
2 answers:
notsponge [240]3 years ago
8 0

Answer: $78.00

the answer is 78.00

blsea [12.9K]3 years ago
3 0

Answer:

I = $ 78.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year,

then, solving our equation

I = 650 × 0.02 × 6 = 78

I = $ 78.00

The simple interest accumulated

on a principal of $ 650.00

at a rate of 2% per year

for 6 years is $ 78.00.

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What is the sum of the geometric series
lbvjy [14]
If S denotes the sum of the first n terms of a geometric series with first term a and common ratio r, then

S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}
rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n
\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n
\implies (1-r)S=a(1-r^n)
\implies S=a=\dfrac{1-r^n}{1-r}

Using summation notation, you have

S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}

In this case, you have a=2, r=\dfrac12, and n=16. So the value of the sum is

\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67

Rounded to the nearest whole number, the answer would be 3.
4 0
4 years ago
Read 2 more answers
Anita is years older than Basilio. Three times Anita's age added to six times Basilio's age is 36. 1. Define the variables 2. Cr
Scilla [17]

Answer :Anita's age = 7 years

Basilio's age = 2.5 years

Step 1. Assign variables to Anita's and Basilio's ages.

Anita's age = A

Basilio's age = B

 

Step 2. Use the information given to form two equations.

Anita is 4-1/2 years older than Basilio

A = 4.5 + B

 

Three times Anita's age added to six times Basilio's age is 36

3A + 6B = 36

 

Step 3. Substitute the value of A from first equation in to the second equation and solve for B

3(4.5 + B) + 6B = 36

13.5 + 3B + 6B = 36

13.5 + 9B = 36

9B = 36 - 13.5

9B = 22.5

B = 22.5/9 = 2.5

 

Step 4. Find the value of A

A = 4.5 + 2.5 = 7

 

Answer:

Anita's age = 7 years

Basilio's age = 2.5 years

6 0
3 years ago
A nut wholesaler sells a mix of peanuts and cashews. He charges $2.80 per pound for peanuts and $5.30 per pound for cashews. If
Len [333]

Answer: 20 pounds of peanuts and 80 pounds of cashews.

5 0
3 years ago
Read 2 more answers
A candy maker had a piece of taffy that was 53 inches long. If he chopped it into 6 equal length pieces, how long would each pie
Anna71 [15]

Answer:

the answer is 8.83 inches per piece, the 2 whole numbers it lies between are 8 and 9

Step-by-step explanation:

53/6= 8.83

6 0
3 years ago
Read 2 more answers
Will mark brainliest! Please help!
ValentinkaMS [17]

Answer:

The dimensions are:

3(2x+1) by (7x+5)

Step-by-step explanation:

The area of the rectangle is given as

A=42x^2+51x+15

The factored form of this quadratic trinomial gives the dimensions of the rectangle.

We factor 3 first to obtain;

A=3(14x^2+17x+5)

We split the middle term to get;

A=3(14x^2+10x+7x+5)

We factor within the parenthesis to get;

A=3(2x(7x+5)+1(7x+5))

We factor further to get;

A=3(2x+1)(7x+5)

The dimensions are:

3(2x+1) by (7x+5)

Then the perimeter will be

2(6x+3+7x+5)=26x+16\:\:\:\boxed{\sqrt{} }

4 0
3 years ago
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