Dan deposits $400 into an account that pays simple interest at a rate of 4% per year. How much interest will he be paid in the first 3 years?

Answers

Answer 1
Answer:

The answer is $48. My work is in the picture above.

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It cost $35 for one adult and two children to attend a show.it cost $60 for two adults and three children to attend the same show.How much dose it cost one adult to attend the show?

Answers

Answer:

$15

Step-by-step explanation:

This question can be solved with the use of a system of equations.

Start by defining the variables that will be used:

Let the cost of 1 adult and 1 child to attend the show be $a and $c respectively.

Form 2 equations and label them:

a +2c= 35 -----(1)

2a +3c= 60 -----(2)

Let's solve by elimination. Since the question is only asking for the cost for an adult to attend the show, we can work to eliminate the c term. This can be done by ensuring that the coefficients of c in both equation has the same numerical value (the sign does not really matter for now). In this case, we can make the coefficient of c to be 6 since it is the lowest common multiple of 2 and 3.

(1) ×3: 3a +6c= 105 -----(3)

(2) ×2: 4a +6c= 120 -----(4)

Since the coefficient of c in both (3) and (4) are +6, we can subtract one equation from the other to eliminate the term c.

(4) -(3):

(4a +6c) -(3a +6c)= 120 -105

Expand:

4a +6c -3a -6c= 15

a= 15

Thus, it costs $15 for one adult to attend the show.

Additional:

Do check out the following for an example on solving a system of equations by the substitution method!

(1)Arrange the list of numbers in increasing order.2/5 , 4/9 , 3/7

(2)Which number is halfway between 1/2 and 5/6?
A.7/10
B.13/20
C.27/40
D.2/3

Answers

Hello,

I)
(2)/(5)=(2*9*7)/(5*9*7)=(126)/(315)

(4)/(9)=(4*5*7)/(315)=(140)/(315)

(3)/(7)=(3*5*9)/(315)=(135)/(315)

or
(126)/(315)\leq(135)/(315)\leq(140)/(315)
thus
(2)/(5)\leq(3)/(7)\leq(4)/(9)

II)

((1)/(2)+(5)/(6))/(2)=(8)/(6*2)=(2)/(3)
















Find the mean of this set of numbers.5, –11, 7, 12, –1, 0

A.
2

B.
–2

C.
–6

D.
6

Answers

This is how you find the mean of a number:

To find the mean of a number, you need to add up all the numbers listed (so, 5, -11, 7, 12, -1 and 0) and then divide it by the amount of numbers there are listed. 5 + -11 + 7 + 12 + -1 + 0 equals 12, and since there are 6 numbers you then divide 12 by 6. 12 divided 6 is 2. 

So the answer is A. I hope this helped you!
The answer is 2

sorry if i am wrong

B+7=10
substitution method

Answers

Answer:

B =3

Step-by-step explanation:

B + 7 = 10

-7 -7

B = 3

I hope this helps

The number of tomato plants (t) is twice the number of pepper plant (p) A. t=2+p
B. +t=p
C.2t=p
D. t=2p

Answers

the number of tomato plants (t) is (=) twice (2 times) the number of pepper plants (p)
t=2(p)

so the anser is t=2p or D
D. T=2p

This is because the number of tomato plants (t) is (=) twice (2) the number of pepper plants (p)

Expand the linear expression: 3(4x+3)

Answers

Simple,

3(4x+3)

Distribute the 3...

3*4x=12x
and
3*3=9

Thus, your answer, 12x+9.
12x+9 that is your answer