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Andre45 [30]
3 years ago
11

Martin is offered an investment where for $6,000 ​today, he will receive $6,180 in one year. He decides to borrow $6,000 from th

e bank to make this investment. What is the maximum interest rate the bank needs to offer on the loan if Martin is at least to break even on this​investment?
A. 2% B. 1% С. 4% D. 3%
Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Answer:

The correct answer is D. 3 % p. a .

Step-by-step explanation:

For the investment offered, Martin is supposed to get $180 as an interest ($6,180 - $6,000).

Now Martin is borrowing $6,000 from the bank to make this investment. He should be charged $180, so that he breaks even on investment.

Thus using the formula:

Interest= Principal × Time ( per annum) × \frac{Interest rate}{100} ; (Here simple and compound interest are same as the sum borrowed is to be charged for a single year)

⇒ 180 = \frac{6000}{100} × 1 × Interest rate

⇒ 180 = 60 × Interest rate

⇒ Interest rate = 3

Thus the correct answer is 3% per annum.

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see below

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m/3 + 4 = 7

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2 years ago
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the
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Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of​ metal

y ----> the original width of the piece of​ metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in

The volume of the box is equal to

V=(x-10)(y-10)5

V=930\ in^3

so

930=(x-10)(y-10)5

simplify

186=(x-10)(y-10) -----> equation A

Remember that

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see the attached figure

Find the value of x

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The original length was 41 inches and the original width was 16 inches

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3 years ago
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