Write the numerical expression for the phrase and simplify the expression 8 added to the sum of -16 and -3

A new bank customer with $4 comma 500 wants to open a money market account. The bank is offering a simple interest rate of 1.5

Jet001 [13]

a) Simple interest earned by customer in 10 years is $ 675

b) Account balance after 10 years is $ 5175

Solution:

The simple interest is given by formula:

$Simple\ Interest = \frac{p \times n \times r}{100}$

Where,

"p" is the principal

"r" is the rate of interest

"n" is the number of years

a. How much interest will the customer earn in 10 years?

From given,

Principal = p = $ 4500

Simple interest rate = r =1.5 %

n = 10

Substituting the values in formula,

$Simple\ Interest = \frac{4500 \times 10 \times 1.5}{100}\\\\Simple\ Interest = 450 \times 1.5\\\\Simple\ Interest = 675$

Thus simple interest earned by customer in 10 years is $ 675

b. What will the account balance be after 10 years ?

Account balance = principal + simple interest

Account balance = 4500 + 675 = 5175

Thus account balance after 10 years is $ 5175

8 0

3 years ago

the two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more qui

uranmaximum [27]

The missing figure is attached down

Answer:

Container A is filling more quickly

Step-by-step explanation:

Let us explain the linear relation

The linear equation is y = m x + b, where

m is the slope of the line which represents the rate of change (change in y/change in x)
b is the y-intercept which means the initial amount of y (at x = 0)

If a line represents the amount of water over time, then it represents the rate of filling of the water

∵ There are two containers A and B that have the same size

∵ The two lines represent the amount of water over time in

containers A and B

∴ The slopes of the lines represent the rat of water in the tanks

→ That means the greater slope represents the greater rate

∵ The greater the slope, the steeper the line

∴ The container that represented by the steeper the line is filling quickly

→ The line represents container A is steeper more than the line

represents container B

∴ Container A is filling more quickly

4 0

4 years ago

What is the value of y in this system of equations? (see attachment)

Ray Of Light [21]

My work and the answer is shown up in the picture.

I used the substitution method to check my answers by using x and y into the two equations.

3 0

3 years ago

Read 2 more answers

Elena is making a grape drink. the recipe calls for 2 parts grape juice concentrate to 6 parts water. elena would like to make 8

SashulF [63]

Answer: 20 oz of juice concentrate and 60 oz of water.

Explanation:

Translate the word statements into algebraic expressions to set a system of equations that you can solve.

1) Name the variables:

j: parts of juice concentrate
w: parts of water

2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:

j / w = 2 / 6

3) Statement two, 80 oz of the drink, tanslates into an equality:

j + w = 80

4) Solve the system to find how many oz of juice concentrate and water Elena needs:

a) System:

j / w = 2 / 6

j + w = 80

b) Solve for w in the first equation: w = 6j / 2 = 3j

c) Substitute w in the second equation: j + 3j = 80

d) Combine like terms: 4j = 80

e) Use division property of equality: j = 20

f) Substitue in w = 3j: 3 = 3(20) = 60.

5) Solution: j = 20, w = 60.

6) Verify:

j / w = 20 / 60 = 2 / 6 ⇒ right
j + w = 20 + 60 = 80 ⇒ right

6 0

3 years ago

Which statement about the hyperbola is true?

Vikki [24]

Answer:

B Point (3,0) is a vertex

Step-by-step explanation:

7 0

4 years ago