MATHEMATICS MIDDLE SCHOOL

$1400 from fund-raisers in a 18-month CD paying 3.7%

Answers

Answer 1

Answer:

Answer:

The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Amount invested in the Certificate of Deposit = US$ 1,400

Duration of the CD = 18 months

Interest rate = 3.7% compounded monthly

2. Let's find the future value of the Certificate of Deposit after 18 months, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Amount invested = US$ 1,400

number of periods (n) = 18

rate (r) = 3.7% = 0.037 annually or 0.003083 monthly

Replacing with the real values, we have:

FV = 1,400 * (1 + 0.003083) ¹⁸

FV = 1,400 * (1.003083) ¹⁸

FV = 1,400 * 1.056978

FV = US$ 1,479.77 (Rounding to the nearest cent)

The junior class will receive US$ 1,479.77 when it cashes in the Certificate of Deposit.

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Evaluate a÷b a=6.4 and b =0.08

Answers

For this problem, you simply have to plug in a and b into your equation. By this I mean that you have to replace a and b in the first equation with what they tell you. Since a=6.4 and b=0.08, you just have to change the first equation to 6.4÷0.08. You can then solve it out and you will end up getting an answer of 80.

Yasmine bought 6 gallons of apple juice. After filling up 4 bottles of the same size with apple juice, she had 0.3 gallon of apple juice left.

Answers

1.425 gallons/bottle.

Further explanation

Given:

Yasmine bought 6 gallons of apple juice.
After filling up 4 bottles of the same juice, she had 0.3 gallons of apple juice left.

Question:

What is the amount of apple juice in each container (or bottle)?

The Process:

Let the amount of apple juice in each bottle as X.

The two steps for obtaining X are as follows:

Step-1: the total amount of apple juice is the initial gallon amount subtracted by the remaining gallon amount.

$\boxed{ \ 6 \ gallons - 0.3 \ gallons = 5.7 \ gallons \ }$

Step-2: the total amount of apple juice divided by the number of bottles is the amount of apple juice in each bottle.

$\boxed{ \ X = 5.7 \ gallons / 4 \ bottles = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Let's also consider the following quick steps.

Quick steps:

$\boxed{ \ X = ((6 - 0.3) \ gallons)/(4 \ bottles) = \boxed{ \ 1.425 \ gallons/bottle \ } \ }$

Therefore, the amount of apple juice in each container (or bottle) is 1.425 gallons.

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Keyword: Yasmine bought 6 gallons of apple juice, after filling up 4 bottles, she had 0.3 gallons, what's the amount, in each bottle, subtracted by, divide, container

The size of each bottle that is filled by apple juice is $\boxed{\bf 1.425}$ .

Further explanation:

Given:

Yasmine bought $6$ gallons of apple juice.

She filled up $4$ bottles of same size.

She had $0.3$ gallon of apple juice left.

Calculation:

Consider the size of each bottle is $x$ gallons.

Total size of each bottle is $4x$ gallons.

Total amount of apple juice used in these $4$ gallons can be obtained by subtracting total amount of apple juice to remaining apple juice.

$\boxed{6-0.3=5.7}$

Therefore, total size of the $4$ bottles is $5.7\text{ gallon}$ .

Write the equation for the total size of the bottles.

$\boxed{4x=5.7}$

Now find the value of $x$ which gives the size of the bottles.

$\begin{aligned}4x&=5.7\nx&=(5.7)/(4)\nx&=1.425\end{aligned}$

Therefore, the size of each bottle that is filled by apple juice is $\boxed{\bf 1.425}$ .

Simple method:

First find the total size of bottle and then divide by $4$ .

The total size of each bottle can be obtained as follows:

$6-0.3=5.7$

The size of each bottle can be obtained as follows:

$(5.7)/(4)=1.425$

The size of each bottle that is filled by apple juice is $\boxed{\bf 1.425}$ .

Learn more:

1. Learn more about algebraic expression brainly.com/question/1600376

2. Learn more about average brainly.com/question/3959122

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords: Yasmine, apple juice, juice, 6 gallons, 0.3 gallons, filled, equally, bottles, juice, poured,1.425, liters, size, amount, equation, total size.

Emma's tea shop has caffeinated tea and decaffeinated tea. The tea shop swerved 30 caffeinated teas and 10 decaffeinated teas. What percentage of the teas were caffeinated?

Answers

Answer:

75% of the tea is caffeinated

Step-by-step explanation:

100 = 25 25 25 25

40 = 10 10 10 10 = 75 25

therefore if 40 = 100% then subtract 25% from 40 and you get 30 or 75%

Answer:

75% HAS CAFINEEEEE

Step-by-step explanation:

Have a board 10 ft long need 6 legs. How tall are the legs.

Answers

The length of your legs is determined by diet, exercise, and genes, and is not influenced by the length of a board.

Please help with these math questions

Answers

1. Slope intercept form is y=mx+b, where m is slope and b is y-intercept.
It gave you point (8,12) and slope of -2.
So you already know the value of m, so so far it's y = -2x + b.
Plug the coordinates as x and y: 8 for x and 12 for y.
12 = -2(8) + b
12 = -16 + b
28 = b

Adding b in, you get y = -2x + 28

2. Find the slope, then use point-slope form.
Slope is change in y over change in x, or (y2-y1)/(x2-x1).
m = (9-1)/(2-3) = 8/(-1) = -8

Point slope form: y - y1 = m(x - x1)
y - y1 = -8(x - x1)
Now plug in either of the coordinates as x1 and y1, let's do (3,1).
y - 1 = -8(x - 3)
y - 1 = -8x + 24
y = -8x + 25

3. Do it the same way as number 2. Choose two points, for example (1,1) and (2,-2). You find m = -3 and get final answer as y=-3x + 4.

4. B = 150 + 80d
B is account balance, d is number of monthly deposits.
If you rearrange the terms: B = 80d + 150, you see that that is in slope-intercept form y = mx+b, and if you remember from #1 m is the slope. In this case, the variables are changed, so d is the slope here. And the question told you that d, the slope, is the number of monthly deposits. Its coefficient is 80, so Bianca deposits $80/month.

5.
14a + 16b = 560
16b = 560 - 14a
b = (560 - 14a)/16
b = 560/16 - 14a/16
b = 35 - (7/8)a
b = -(7/8)a + 35

If your pencil is 20 centimeters long how many millimeters is it?