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1 year ago

The summer after sophomore year, Haley nannied for a family and earned $2000. She

Mathematics

1 answer:

AnnZ [28]1 year ago

3 0

You want to calculate the interest on $2000 at5.8% interest per month after six years?

Here is your formula: I =p*r*t

P is the principal amount which is $2000

R is the rate of interest which is 5.8% per month

T is the time involved whihc is six years

You’re interest is 8352.00

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A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If

Alika [10]

Let

a--------> the total cost in dollars of $6$ ounces of coconut oil

b--------> the total cost in dollars of $5$ ounces of beeswax

we know that

$a=0.50 \frac{\$}{ounce}*6=\$3$

$b=2.00 \frac{\$}{ounce}*5=\$10$

therefore

the answer is

the total cost in dollars of $6$ ounces of coconut oil is $a=\$3$

the total cost in dollars of $5$ ounces ofbeeswax is $b=\$10$

7 0

2 years ago

Read 2 more answers

8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm

denpristay [2]

Answer:

Step-by-step explanation:

We can express the 8th term as x and the 12th term as y.

This would mean that 8x=12y

Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y

Now we can use this to substitute y with x in the first equation. This would give us:

8x=12(x-8)

Which we can expand and solve:

8x=12x-96

-4x=-96

Therefore x=24

This means the 8th term is 24 and the 12th term is 16 (24-8).

To test if this is correct we can do:

8x24=12x16

Which indeed are equal, both sides multiply to 192.

Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)

24+14=38.

The first term is 38.

Hope this helped!

3 0

1 year ago

Devin volunteers at Big Pup Rescue. He is mixing up shampoo solution for the dog washing station. He needs 2 cups of shampoo con

ch4aika [34]

Answer:

8 Shampoo Concentrate

Step-by-step explanation:

There's a ratio of 9:2 so for every 9 cups of water there's two cups of shampoo concrete.

We'll need 9 multiplied by 4 is 36

so we need to multiply 2 with 4

4 multiplied by 2 is 8

7 0

1 year ago

Read 2 more answers

PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

1 year ago

What does 3ˣ + 4·3ˣ⁺¹ = a. 13·3ˣ⁺¹ b. 5·3ˣ⁺¹ c. 5·3²ˣ⁺¹ d. 13·3ˣ

Crazy boy [7]

Answer:

D. 13*3^x

Step-by-step explanation:

$3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x$

3 0

1 year ago