Write the equation of the line that passes through the points (-8, -8) and

Dilating a triangle changes the angles and side length of the triangle. A. True B. False

Bogdan [553]

False, it may change the side length (not 100% sure) but I know for sure dilating doesn't change the angle

3 0

3 years ago

Read 2 more answers

Zak buys 6 gallons of fruit punch. He has coupons for $0.55 off the regular price of

kherson [118]

Answer:

$2.00

Step-by-step explanation:

If Zak is Buying 6 gallons, and he has a coupon for each gallon for $0.55 off, we need to first find how much he saved.

We can do this by calculating $0.55 (or 0.55) multiplied by 6. This answer is 3.30, or $3.30.

Now we add $3.30 to $8.70 to get the normal price for 6 gallons of fruit punch.

3.30 + 8.70 = 12.00, or $12.00

The normal price for 6 gallons of fruit punch is $12.00.

Now, we divide 12 by 6 to get the cost of one single gallon of fruit punch.

12/6 = 2

One gallon of fruit punch costs $2.00

Hope this helps! Have a great rest of your day! :)

7 0

2 years ago

Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont

love history [14]

Answer:

$\approx$ 17.5% per annum

Step-by-step explanation:

Given:

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

Interest is compounded annually.

To find:

Rate of growth = ?

Solution:

First of all, let us have a look at the formula for compound interest.

$A = P \times (1+\frac{R}{100})^T$

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

$500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%$

So, the correct answer is $\approx$ 17.5% per annum and compounding annually.

6 0

3 years ago

20% of the patron's order the chef's special. The probability that 2 out of the next ten customers will order the chef's special

kotegsom [21]

Answer:

$P(x =2) = 0.3020$

Step-by-step explanation:

Given

$p =20\% = 0.20$

$n = 10$

Required

$P(x = 2)$

This question is an illustration of binomial distribution where:

$P(X = x) = ^nC_x * p^x * (1 - p)^{n-x$

So, we have:

$P(x =2) = ^{10}C_2 * 0.20^2 * (1 - 0.20)^{10-2}$

$P(x =2) = ^{10}C_2 * 0.20^2 * 0.80^8$

This gives

$P(x =2) = \frac{10!}{(10 - 2)!2!} * 0.20^2 * 0.80^8$

$P(x =2) = \frac{10!}{8!2!} * 0.20^2 * 0.80^8$

Expand

$P(x =2) = \frac{10*9*8!}{8!2*1} * 0.20^2 * 0.80^8$

$P(x =2) = \frac{10*9}{2} * 0.20^2 * 0.80^8$

$P(x =2) = 45 * 0.20^2 * 0.80^8$

$P(x =2) = 0.3020$

5 0

2 years ago

HELP WITH GEO!!! PLS 50 POINTS

photoshop1234 [79]

Answer:

1.A

2.B

3.A

I believe these would be the correct answers

3 0

2 years ago

Read 2 more answers