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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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We have a jar of coins, all pennies and dimes. All together, we have 309 coins, and the total value of all coins in the jar is $
Vinvika [58]

There are 130 pennies in the jar

Step-by-step explanation:

We have a jar of coins

  • All coins are pennies and dimes
  • There are 309 coins in the jar
  • The total value of all coins in the jar is $ 19.2

We need to find the number of pennies in the jar

Assume that there are p pennies and d dimes in the jar

∵ There are p pennies and d dimes in the jar

∵ There are 309 coins in the jar

∵ All the coins in the jar are pennies and dimes

∴ p + d = 309 ⇒ (1)

∵ The total value of all coins in the jar is $ 19.2

∵ $1 = 100 cents

∴ $19.2 = 19.2 × 100 = 1920 cents

∵ 1 penny = 1 cent

∵ 1 dime = 10 cents

∴ p + 10 d = 1920 ⇒ (2)

Now we have system of equations, we can solve them to find p

∵ p + d = 309 ⇒ (1)

∵ p + 10 d = 1920 ⇒ (2)

- Multiply equation (1) by -10 to eliminate d

∵ (-10)(p) + (-10)(d) = (-10)(309)

∴ -10 p - 10 d = -3090 ⇒ (3)

Add equations (2) , (3)

∴ -9 p = -1170

- Divide both sides by -9

∴ p = 130

There are 130 pennies in the jar

Learn more:

You can learn more about the system of equations in brainly.com/question/3739260

#LearnwithBrainly

8 0
3 years ago
What do you multiply by itself to get 49?
kirza4 [7]
We try the all of the numbers until we find it
1*1=1
2*2=4
3*3=9
4*4=16
5*5=25
6*6=36
7*7=49
So the answer is 7
3 0
2 years ago
1+1+1+1 what is the correct answer ​
Semenov [28]

1+1+1+1

First, let's do 1+1

1+1=2

and the other 1+1 also equals 2

2+2=4

so the final answer is 4

5 0
2 years ago
Read 2 more answers
There are 870 boys and 800 girls in a school
alina1380 [7]

Answer:

1060

Step-by-step explanation:

Given:

No. of boys = 870

No. of girls = 800

Probability that a boy chosen studies Spanish = \dfrac{2}{3}

Probability that a girl chosen studies Spanish = \dfrac{3}{5}

the number of boys in the school who study Spanish :

\dfrac{2}{3}\times 870=290\times 2=580

the number of girls in the school who study Spanish :

\dfrac{3}{5}\times 800 \\=3\times 160\\\\=480

Therefore, total number of students who study Spanish would be :

480+580=1060

8 0
3 years ago
The quotient of 6 divided by the difference of m minus 3<br>A.15<br>B.2<br>C.3<br>D.21<br>E.42​
anzhelika [568]
A i hope this helps!!
6 0
2 years ago
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