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KIM [24]
2 years ago
6

Juan invested $100 in a savings account the earns 5% annually. The value, A, of the investment can be calculated using the equat

ion A=p(1+r) with and exponent of t, where p is the investment in dollars, r is the interest rate, and t is the time of years. What amount will be in the savings account in two years?
Mathematics
1 answer:
Karolina [17]2 years ago
6 0

Answer:

$110.25

Step-by-step explanation:

Step one:

given

principal= $100

rate= 5%

time = 2 years

Required

The final amount

Step two:

The compound interest formula is

A=p(1+r)^t

substituting we have

A=100(1+0.05)^2\\\\A=100(1.05)^2\\\\A=100*1.1025\\\\A=110.25\\\\

The final amount is $110.25

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Linda had 8 stamps in her collection. She lost 2 stamps. What fraction of the
Alenkinab [10]

Answer:

2/8

Step-by-step explanation:

all the stamps would be 8/8 but she lost 2 therefore giving her 2/8

6 0
3 years ago
Read 2 more answers
1.
ratelena [41]
Amount Financed: $2,650
Finance Charge: $484.69
Number of Payments: 36

(Finance Charge)/(Amount Financed)*100$=($484.69)/($2,650)*100$
(Finance Charge)/(Amount Financed)*100$=(0.1829)*100$
(Finance Charge)/(Amount Financed)*100$=$18.29

In the row of number of Payments 36, we look for:
(Finance Charge)/(Amount Financed)*100$=$18.29, and we see to which annual porcentage rate it corresponds in the first row

Answer: 11.25% 

7 0
3 years ago
There are 22 rows of seats on a concert hall: 23 seats are in the 1st row, 27 seats on the 2nd row, 31 seats on the 3rd row, and
JulijaS [17]
We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.

1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.

So we have an arithmetic series with a first term of 23 and a common difference of 4.

We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):

Sₙ = (n/2)(t₁ + tₙ)

where n is the term numbers, t₁ is the first term, tₙ is the nth term

We want to sum up to 22 terms, so we need to find the 22nd term

Formula for general term of an arithmetic sequence:

tₙ = t₁ + (n-1)d,

where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is

tₙ = 23 + (n-1)(4)

The 22nd term, which is the 22nd row, is

t₂₂ = 23 + (22-1)(4) = 107

There are 107 seats in the 22nd row.

So we use the sum formula to find the total number of seats:

S₂₂ = (22/2)(23 + 107) = 1430 seats

Total of 1430 seats.
If all the seats are taken, then the total sale profit is

1430 * $29.99 = $42885.70
4 0
3 years ago
Two angles are supplementary. One angle has a measure that is five less than four times the other. What is the measure of the la
iren [92.7K]

Answer:

The larger angle is 143

Step-by-step explanation:

x + y = 180 (This is the meaning of supplementary. Two angles make up 180 degrees)

4x - 5 = y

x + (4x - 5) = 180            Remove the brackets.

x + 4x - 5 = 180

5x - 5 =  180                  Add 5 to both sides

5x - 5 +5 = 180 + 5       Combine

5x = 185                        Divide by 5

5x/5=185/5

x = 37

y = 4*37 - 5

y = 148 - 5

y = 143

4 0
2 years ago
What is the interval in which this function is positive?
NeX [460]

Answer:

(-∞,∞)

Step-by-step explanation:

It is positive for all x

7 0
3 years ago
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