Liam opened a savings account with a $400 deposit and a simple interest rate of 7.5%. If the balance of the account is now $670 and there are no deposits or withdraws, how long ago did he open the account?

Answer: x= 10, y= 13. i dont know for sure so i'd wait for someone else to answer

Answer:

x = 12

y = 13

Step-by-step explanation:

by pythagoras theorem

x²=20²-16²

x²=400-256

x²=144

x=12

y²=x²+5²

y²=12²+5²

y²=144+25

y²=169

y=13

Answer:

Step-by-step explanation:

3 + 5 = 8

7 + 11 = 18

11 + 19 = 30

Answer:

y= 28x+8

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the slopes are the same but the y-intercepts are different, the system has no solution.

If the slopes are different, the system has one solution.

If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Answer:

Step-by-step explanation:

If you mean linear systems. If lines have a different slope there will be one solution. If they have the same slope (parallel) and a different y intercept there are zero solutions. If they have same slope and y intercept than they are the same line and have an infinite number of solutions.

Answer:

-6 (i can explain if its needed)

Step-by-step explanation:

[tex]2 - {n}^{2} + 3 \times 14 - {n}^{2} = \\ 2 - {n}^{2} + 42 - {n}^{2} = \\ 2 - 25 + 42 - 25 = - 6[/tex]

Answer:

x = 7

Step-by-step explanation:

4x−12=16

Step 1: Add 12 to both sides.

4x−12+12=16+12

4x=28

Step 2: Divide both sides by 4.

4x/4 = 28/4 = 7

x=7

Answer:

U is (0,-8)

V is (0,-10)

T is (5,-8)

S is (5,(-10)

Answer:

d(t)=8cos((pi/12)t)

Step-by-step explanation:

I think this is correct...

A=8 b/c 40-24=16, 16/2 = 8

B=2pi/per, 2pi/24, B = pi/12

Answer:

28

Step-by-step explanation:

All angles together in the triangle are 180.

62+90+x=180

x=180-(90+62)

x=180-152

x=28

Answer:

He invested $13500 in fund A, and $4500 in Fund B

Step-by-step explanation:

maths

Answer:

4.87500

Step-by-step explanation:

hope this helps

Answer:

4.875

Step-by-step explanation:

78 divided by 16 = 4.875

Answer:

A. $37,395

Step-by-step explanation:

correct on edge! hope it helps :)

The savings from the difference between the 30–year loan at 11%, which

is 6% gives an interest when the mortgage is paid of approximately;

a. $37,395.18

The amount paid is given as follows;

[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]

Which gives;

[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]

Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8

At the lower interest rate the person could have received (11 - 6 = 5)%, we have;

[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]

Payment in 10 years = $805.23 × 120 ≈ $92,227.6

Savings = $171,418.8 - $96,627.6 = $74,791.2

The time duration the savings is invested in the account = 30 years - 10 years = 20 years

Which gives;

Simple interest  after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6

Therefore;

The option that best gives the amount of money that would have accumulated in interest is the option a.

a. $37,395.18

Learn more about compound and simple interest here:

https://brainly.com/question/24557100

https://brainly.com/question/9245816

Answer:

2.2

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

50 times 30 over 100 you will get 15

Answer:

$7.96

Step-by-step explanation:

20 - 10.24 = 9.96 - 2 = $7.96

Answer:

i did't see the value I in the equation

Step-by-step explanation:

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Answer:

-4

Step-by-step explanation:

Answer:

0.193

Step-by-step explanation:

The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The value of 5 in the given numbers can be written as,

Now, we can write the value of the two numbers as,

5 = 0.5 × x

x = 5/0.5

x = 10

Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

Answer:

27- 1 = 26

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

This is because the amount decreased is 17 and 17 is what percent of 85? The answer is 20%.