1. evaluate the expression if y = 5 and z = 0

2z/y

2. evaluate the expression if x = 0, y = -1, and z = 7

xz - y2

3. determine how much interest you would earn on the following investment:

$600 invested at a 2% interest rate for 10 years.

4. determine how much interest you would earn on the following investment:

$13,000 invested at a 6.7% interest rate for 9 months.
simplify the following expression by combining like terms.

4ab - 3bc + 7a - 2b + 3bc



1. 0

2. -1

3. $120

4. $653.25

5. 4ab + 7a - 2b

Step-by-step explanation:

1. y = 5, z = 0

2z/y = ?

You'll need to substitute the values of y and z in the expression

2z/y

Becomes

2 * 0 / 5

= 0

So, 2z/y equals 0

2. x = 0, y = -1 z = 7

xz - y²

Substituting the values of x, y and z in the above algebraic expression

xz - y²

Becomes

0*7 - (-1²)

0 - 1

-1

So, xz - y² equals -1

3. The question falls under SIMPLE INTEREST

The formula is

I = (PRT)/100

Where I represents Interest

P = Principal (Amount Invested)

R = Rate of Interest

T = Time (in years)

From the question,

The interest is unknown (To be calculated)

P equals $600

R = 2%

T = 10 years

Substitute these values in the formula above

I = (PRT)/100

Becomes

I = (600 * 2 * 10) / 100

I = 12000/100

I = 120

Result: The interest is $120

4.

The formula is

I = (PRT)/100

Where I represents Interest

P = Principal (Amount Invested)

R = Rate of Interest

T = Time (in years)

From the question,

The interest is unknown (To be calculated)

P equals $13000

R = 6.7%

T = 9 months

Remember that time has to be in years

So, 9 months must be converted to year(s)

If 12 months makes a years

Then 9 months would be 9/12 years

So, T = 9/12 years

T = 0.75 years

Substitute these values in the formula above

I = (PRT)/100

I = (13000 * 6.7 * 0.75) / 100

I = 65325/100

I = 653.25

Result: The interest is $653.25

5. Simplify 4ab - 3bc + 7a - 2b + 3bc

4ab - 3bc + 7a - 2b + 3bc Collect like terms

4ab + 7a - 2b + 3bc - 3bc

4ab + 7a - 2b

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10