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3 years ago

Nikki had 70% of her savings left in her bank account. If she has $230 in her bank account, how much did she start with?

Mathematics

1 answer:

Alex3 years ago

6 0

Answer:

$299

Step-by-step explanation:

Given that 70% is $230 you can divide this by 7 to get 10%.

10% is 23. The remaining percentage we need is 30.

Soo 10% x 3 = 30%. (23x3)

23 x 3 = 69.

69 + 230 = $299

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A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can

mrs_skeptik [129]

The answer is D.
You multiply 1,250,000 by 1.50= 1,875,000
Then add 1,875,000 to 1,250,000= 3,125,000
Divide by 1,000,000 and you get 3.125

3 0

3 years ago

Read 2 more answers

Which equation represents a proportional relationship? A. y = x + 1 3 y=x+13 B. y = 1 − 1 3 x y=1-13x C. y = 3 x + 1 3 y=3x+13 D

34kurt

Answer:

Option D. $y=\frac{1}{3}x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

case A) we have

$y=x+\frac{1}{3}$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=0+\frac{1}{3}=\frac{1}{3}$

The line not passes through the origin

therefore

The equation A not represent a proportional relationship

case B) we have

$y=1-\frac{1}{3}x$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=1-\frac{1}{3}(0)=1$

The line not passes through the origin

therefore

The equation B not represent a proportional relationship

case C) we have

$y=3x+\frac{1}{3}$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=3(0)+\frac{1}{3}=\frac{1}{3}$

The line not passes through the origin

therefore

The equation C not represent a proportional relationship

case D) we have

$y=\frac{1}{3}x$

Remember that

the line must pass through the origin

For x=0, y=0

In this case

For x=0

$y=\frac{1}{3}(0)=0$

The line passes through the origin

therefore

The equation D represent a proportional relationship

3 0

3 years ago

Whose constitution has about 400 amendments? A: Mexico B:United States C:Texas D: Louisiana

tensa zangetsu [6.8K]

The correct answer is C. Texas

3 0

3 years ago

Water whose temperature is at 100∘C is left to cool in a room where the temperature is 60∘C. After 3 minutes, the water temperat

Tju [1.3M]

Answer:

21.68 minutes ≈ 21.7 minutes

Step-by-step explanation:

Given:

$T=60+40e^{kt}$

Initial temperature

T = 100°C

Final temperature = 60°C

Temperature after (t = 3 minutes) = 90°C

Now,

using the given equation

$T=60+40e^{kt}$

at T = 90°C and t = 3 minutes

$90=60+40e^{k(3)}$

$30=40e^{3k}$

$e^{3k}=\frac{3}{4}$

taking the natural log both sides, we get

3k = $\ln(\frac{3}{4})$

3k = -0.2876

k = -0.09589

Therefore,

substituting k in 1 for time at temperature, T = 65°C

$65=60+40e^{( -0.09589)t}$

$5=40e^{( -0.09589)t}$

$e^{( -0.09589)t}=\frac{5}{40}$

$e^{( -0.09589)t}=0.125$

taking the natural log both the sides, we get

( -0.09589)t = ln(0.125)

( -0.09589)t = -2.0794

t = 21.68 minutes ≈ 21.7 minutes

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3 years ago

What is the translation for 16.5 units right

Alexeev081 [22]

To take 16.5 units from zero to the right on a number line.

3 0

3 years ago