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zaharov [31]
4 years ago
8

Nina deposited $3400 into a savings account that pays a simple annual interest rate of 2.2% how much interest will she earn afte

r 3 months?
Mathematics
1 answer:
leva [86]4 years ago
5 0
Total = principal * (1 + rate)^years
Total = 3,400 * (1.022)^.25
<span> <span> <span> 3,418.55 </span> </span> </span>
So, after 3 months, $18.55 in interest is earned.

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solve this system of linear equations. separate the x- and y- values with a comma. 6x +5y=-19 12x-8y=52
Ymorist [56]

ANSWER

The solution is

(x,y)=(1,-5)

EXPLANATION

The equations are:

1st equation: 6x +5y=-19

2nd equation: 12x-8y=52

Multiply the first equation by 2:

3rd equation: 12x +10y=-38

Subtracy the 2nd equation from the 3rd equations.

12x-12x+10y--8y=-38-52

18y=-90

Divide both sides by 18.

y=-5

Put y=-5 into any of the equations and solve for x.

Preferably, the first equation will do.

6x +5(-5)=-19

6x -25=-19

6x=25-19

6x=6

x=1

The solution is

(x,y)=(1,-5)

8 0
3 years ago
Amy opened a savings account with $1750 she received for graduation. The account pays 4.3% simple interest. What is the balance
Cerrena [4.2K]

Given:

  • The principal amount that Amy opened her savings account with is $1750.
  • The rate of simple interest compounded annually is 4.3%.
  • The time period for which we calculate the new balance is 6 months.

To Find:

The balance after 6 months.

Answer:

The balance after 6 months will be $1787.625

Step-by-step explanation:

The principal amount that Amy opened her savings account with is $1750. We can denote this by P.

The rate of simple interest compounded annually is 4.3% which we may denote by R.

The time period for which we calculate the new balance is 6 months which can be written as 0.5 years (since the rate of interest is compounded annually, we must consider the time period in terms of years).

The amount of money accrued from the interest can be calculated by the formula

\frac{PRT}{100}

Putting in the values given in the question, we have

\frac{(1750)(4.3)(0.5)}{100} = 37.625

The amount in the bank account will be the principal amount plus the amount of interest accrued that we have calculated above.

Thus, the balance after 6 months will be 1750 + 37.625 = $1787.625.


4 0
3 years ago
Find the simplified product b-5/2b x b^2+3b/b-5
White raven [17]

Answer:

The product \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}

Step-by-step explanation:

Given expression \frac{b-5}{2b} and \frac{b^2+3b}{b-5}

We have to find the product of  \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}

   

Consider the given expression  \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}

Multiply fractions, we have,

\frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}

=\frac{\left(b-5\right)\left(b^2+3b\right)}{2b\left(b-5\right)}

Cancel common factor ( b - 5 )

we have, =\frac{b^2+3b}{2b}

Apply exponent rule,

\:a^{b+c}=a^ba^c

b^2=bb

=bb+3b=b(b+3)

=\frac{b\left(b+3\right)}{2b}

Cancel common factor b , we have,

=\frac{b+3}{2}

Thus, the product  \frac{b-5}{2b}\times\frac{b^2+3b}{b-5}=\frac{b+3}{2}

8 0
3 years ago
Read 2 more answers
Evaluate the expression 4x² – 13y for x = 3 and y = 2.
irina [24]

Answer: 118

Step-by-step explanation: if x=4 then 4x3 to the 2nd power= 144. 13x2=26

144-26=118

3 0
3 years ago
Read 2 more answers
Solve for t:<br> t + 7 = 21<br><br> A: t= 28<br> B: t= 14<br> C: t= -28<br> D: t= -14
tatiyna

t + 7 = 21

---Subtract 7 from both sides

t + 7 - 7 = 21 - 7

t = 14

Hope this helps!! :)

4 0
3 years ago
Read 2 more answers
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