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2 years ago

The steps and the answer

Mathematics

1 answer:

NNADVOKAT [17]2 years ago

8 0

Its basically 9.5× 100 because it's by the power of ten, and also 5.2×100,000,000= 520,000,000 and 9.5 × 100 is 950

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An account earns simple interest. (a) Find the interest earned. (b) Find the

Debora [2.8K]

Answer:

#a. $80

#b. $1680

Step-by-step explanation:

We are given;

Amount invested (principal) is $1600
Rate of interest is 5%
Time = 1 year

We are required to determine the amount of simple interest earned and the amount or balance in the account after 1 year.

#a. Interest earned

To calculate simple interest we use the formula;

I = (PRT) ÷ 100

Where, P is the principal, R is the rate, T is the time and I is the simple interest.

Therefore;

I = (1600 × 5 × 1) ÷ 100

= $80

Therefore, simple interest earned is $80

#b. Balance of the account (Amount accrued)

We are going to use the formula;

A = P + I , where A is the amount accrued, P is the principal and I is the simple interest earned.

Therefore;

Account balance = $1600 + $80

= $1680

Thus, the account balance after 1 year will be $1680

8 0

2 years ago

PLEASE HELPPPP

Studentka2010 [4]

Answer:

1774.67π mm³

Step-by-step explanation:

Please find attached to this question, the required diagram.

From the question, we are told we have a spherical mold.

We would find the volume of a spherical mold using the formula for the volume of a sphere.

The volume of a sphere is calculated as : 4/3πr³

From the attached diagram, we are given the Diameter do the spherical mold as: 22mm

Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm

The volume of the spherical mold = 4/3 × π × 11³

= 1774.6666667π mm³

Approximately and leaving it in terms of pi (π)= 1774.67π mm³

5 0

3 years ago

Need help simplifying this

diamong [38]

The simplified answer is $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$ .

<u>Step-by-step explanation:</u>

$$\frac{3 y+2 x}{z+2 x}-\frac{2 y-3 x}{3 x+y}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}$

To add or subtract denominators of the fraction must be same.

If it is not the same, we must take LCM of the denominators. and so we can add the fractions.

To make the denominator same multiply the 1st term $(\frac{3x+y}{3x+y})$ and 2nd term by $(\frac{z+2x}{z+2x})$

= $\frac{(3 y+2 x)(3 x+y)}{(z+2 x)(3 x+y)}-\frac{(2 y-3 x)(z+2 x)}{(3 x+y)(z+2 x)}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}$

LCM of the denominators is 6x²+ 3xz + 2xy +yz.

Multiply the factors in the numerator.

= $\frac{\left(6 x^{2}+3 y^{2}+11 x y\right)}{(z+2 x)(3 x+y)}-\frac{\left(2 y z+4 x y-3 x z-6 x^{2}\right)}{(3 x+y)(z+2 x)}-\frac{2 z y+6 x z}{6 x^{2}+3 x z+2 x y+y z}$

Now, the denominators are same, you can subtract it.

= $\frac{\left(6 x^{2}+6 x^{2}+11 x y-4 x y-2 y z-2 y z+3 x z-6 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

= $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

Thus the simplified solution is $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

4 0

3 years ago

Let f(x)=1/2x-3. Suppose you subtract 6 from the input of f to create a new function g, and then multiply the input of function

AlladinOne [14]

Answer: h(x)=2x-6

hope this helped

7 0

2 years ago

Inequality 2x > x + 7 is equivalent to ?

Pavel [41]

Answer:

x>7

Step-by-step explanation:

We do 2 steps

2x > x + 7

that means

2x - x > x - x + 7

then

x > 7

That is the answer. Hope it useful for you!

4 0

2 years ago