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2 years ago

$800 at 7% compounded annually for 2 years

Mathematics

1 answer:

Marina86 [1]2 years ago

7 0

Answer:

$115.92

Step-by-step explanation:

To calculate compound interest, which Amount - Principal but we dont know the value for amount so we find the amount first by using the formula.

A = P ( 1 + R ) ^n

100

where p = principal ($800)

a = amount (?)

r = interest rate (7%)

n = time ( no of years) (2)

A = 800 ( 1 + 7 ) ^2

100 A = 800 ( 1 + 0.07) ^2

A = 800 ( 1.07)^2 = 800 ( 1.1449)

A = 915.92.

We then find compound interest with:

C = Amount - Principal = $915.92 - $800 = $115.92

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Read 2 more answers

Urgent help!

Alchen [17]

Answer:

(i) $80-x$

(ii) $S(x) = 40 - 0.10x$

(iii) $36.5

Step-by-step explanation:

Given that:

1. Total Number of fruits = 80

2. Number of mangoes = x

3. Both mangoes and oranges are there in the basket.

Solution (i):

Only mangoes and oranges are there in the basket and the basket is full.

so, Number of mangoes + Number of oranges = Total number of fruits

x + Number of oranges = 80

Number of oranges = $80 -x$

Solution (ii):

Given:

Cost of an orange = 50 cents = $0.50

Cost of a mango = 40 cents = $0.40

Cost for x mangoes = $\$ 0.40x$

Cost for ( $80-x$ ) oranges = $\$ 0.50 \times (80-x)$

$\Rightarrow S(x) = 0.50 (80-x) + 0.40x\\\Rightarrow S(x) = 40 -0.50x + 0.40x\\\Rightarrow S(x) = 40 - 0.10x$

Solution (iii):

Put value of x = 35 in S(x)

$S(35) = 40 - 0.10 (35)\\\Rightarrow S(35) = 40 - 0.35\\\Rightarrow S(35) =\$ 36.5$

Hence, answers are:

(i) $80-x$

(ii) $S(x) = 40 - 0.10x$

(iii) $36.5

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