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xxTIMURxx [149]
1 year ago
5

Adam put $100 in a savings account. After 10 years, he had $1649 in the account. What rate of interest did he earn? Use the form

ula A = Pert, where A is the ending amount, P is the principal (initial amount), r is the interest rate, and t is time.
Mathematics
2 answers:
Korolek [52]1 year ago
5 0
The formula is
A=p e^rt
A future value 1649
P present value 100
R interest rate?
T time 10 years
E constant
Solve the formula for r
R=[log (A/p)÷log (e)]÷t
R=(log(1,649÷100)÷log(e))÷10
R=0.28×100
R=28%
FrozenT [24]1 year ago
5 0

Answer:

28%

Step-by-step explanation:

apex

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If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what
Furkat [3]

Answer:

$229673.215

Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

Formula : A=P(1+r)^t

A_1=42000(1+0.03)^1

A_1=43260

A_2=42000(1+0.03)^2

A_2=44557.8                  

A_3=42000(1+0.03)^3

A_3=45894.534                

A_4=42000(1+0.03)^4

A_4=47271.370                

A_5=42000(1+0.03)^4

A_5=48689.511            

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is  $229673.215

5 0
1 year ago
Ellie buys a mobile phone in spain for €352.50. Her brother jack buys an identical phone from japan for ¥39856. Using exchange r
Nonamiya [84]

Answer:

The answer to your question is: Japan

Step-by-step explanation:

Mobile cost in Spain = € 352.5

Mobile cost in Japan = ¥39856

Exchange rate = £1 = €1.41

                           £1 = ¥188

Cost of mobile in pounds

                       £ 1 ------------------ € 1.41

                        x  -----------------   €352.5

                       x = (352.5 x 1) / 1.41

                       x= £250

                      £1   ------------------  ¥188

                      x    ----------------- -¥ 39856

                     x = (39856 x 1) / 188

                     x = £212

Then, it was cheaper in Japan

8 0
1 year ago
Read 2 more answers
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60percent of their plants are
DaniilM [7]

Answer:

There are 20 vegetable plants in garden.

Step-by-step explanation:

We are given the following in the question:

Percentage of flowers = 60%

Percentage of vegetable = 40%

Number of plants in garden = 50

Number of vegetables in garden =

40\% \times \text{Number of plant}\\\\= \dfrac{40}{100}\times 50\\\\= 20

Number of flowers in garden =

60\% \times \text{Number of plant}\\\\= \dfrac{60}{100}\times 50\\\\= 30

Thus, there are 20 vegetable plants in garden.

6 0
2 years ago
Circle 1 has center (−4, −7) and a radius of 12 cm. Circle 2 has center (3, 4) and a radius of 15 cm.
CaHeK987 [17]
<h3>Answer with explanation:</h3>

It is given that:

Circle 1 has center (−4, −7) and a radius of 12 cm.

Circle 2 has center (3, 4) and a radius of 15 cm.

Two circles are said to be similar if by some translation and dilation it could be placed over the other to form the same circle.

The circles are similar because the transformation rule ( x,y ) → (x+7,y+11) can be applied to Circle 1 and then dilate it using a scale factor of 5/4

( Since, as the center of circle 1 is (-4,-7)

so,

(-4+7,-7+11) → (3,4)

( Since, the radius of circle 1 is 12 and that of circle 2 is 15 cm.

so, let the scale factor be k .

that means :

12\times k=15\\\\k=\dfrac{15}{12}\\\\k=\dfrac{5}{4}  )

7 0
1 year ago
Read 2 more answers
Which graph represents the function f (x) = StartFraction 1 Over x + 3 EndFraction minus 2? On a coordinate plane, a hyperbola i
Ede4ka [16]

Answer:

its A

Step-by-step explanation:

i just did it swag

5 0
1 year ago
Read 2 more answers
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