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cestrela7 [59]
3 years ago
10

Devin signs a note for a discounted loan agreeing to pay $2,700 in 6 months at a discount rate of 7%. Determine the amount of th

e discount and the proceeds to Devin.
Discount = $

Proceeds = $
Mathematics
1 answer:
grandymaker [24]3 years ago
7 0

Answer:

discount= $94.5

Proceeds=$2605.5

Step-by-step explanation:

amount Dawin has to pay= $2700

in 6 months time

at a discount rate of 7%

here future value = $2700

D= discount before m months is given by

D= \frac{FV\times r\times m}{1200}

m= 6 months, r= 7% and FV= 2700

putting values

D= \frac{2700\times 7\times 6}{1200}

solving we get

D= $94.5

now present value = future value - discount

=2700-94.5= $ 2605.5

here PV(present valve )= Proceeds= $2605.5

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Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. How much will she have in the ac
OleMash [197]

Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%.

How much will she have in the account after 3 years?

1st year 4200 x 1.023 = 4296.60

2nd year 4296.60 x 1.023 = 4395.4218

3rd year 4395.4218  x 1.023 = 4496.5165

Round to the nearest dollar.

$4497

6 0
3 years ago
Anita incorrectly wrote the equation z = w – 18 to describe the pattern in the table.
Alina [70]

Answer:

B C and D

Step-by-step explanation:

Mark brainliest

P.S this was epert verified

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2 years ago
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Substitution method x=-y <br> 8x+3y=40
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The answer would be 16
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What's the slope and speed of plane A and B
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3 years ago
(2x² - 5x-3)/ (x-3)<br> DIvide the polynomials
Anika [276]

Answer:

2x + 1

Step-by-step explanation:

\frac{(2x² - 5x-3)}{(x - 3)}

Factor out 2x² - 5x-3

\frac{(2x + 1)(x - 3)}{x - 3}

divide x - 3 by x - 3

=> 2x + 1

<em><u>Or another step</u></em>

Step by Step Solution

STEP

1

:

Equation at the end of step 1

STEP

2

:

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

6 0
2 years ago
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