Answer:
C
Step-by-step explanation:
slope('m") = 0 y-intersect ("b") = 6
y= mx + b
y = 0x + 6
y = 6
An Investment of $10,000 yields 8% interest compounded quarterly.
What will be the accumulated capital after 6 months?
What will be the accumulated capital after 5 years?
An Investment of $10,000 yields 8% interest compounded quarterly. The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47
From the information given;
The principal amount of investment = $10,000Interest Rate = 8% = 0.08number of times it get compounded = 4a. we are to determine the amount of the accumulated capital after 6 months.
i.e. when time (t) = 6 months.Now, using the formula for calculating the amount value of the accumulated capital:
[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]
[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}[/tex]
[tex]\mathbf{A = 10000(1.02)^2}}[/tex]
A = $10,404
b. we are to determine the amount of the accumulated capital after 5 years
i.e. when time (t) = 5 years[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]
[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}[/tex]
[tex]\mathbf{A = 10000(1.02)^20}}[/tex]
A = $14859.47
Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47
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The product –2 • (–5) is shown on the number line. A number line shows an arrow from 0 to negative 5 labeled negative 5, another arrow from negative 5 to negative 10 labeled negative 5, and another arrow from 0 to 10 labeled the opposite of 2 times negative 5. Complete the sentences to explain how the model on the number line could be used to find the answer. Starting at 0 move twice to the left______ spaces. 2 • (–5) = ______. The answer is the opposite of that value, ______ .
Answer:
Starting at 0 move twice to the left___5___ spaces. 2 • (–5) = ___-10___. The answer is the opposite of that value, ___10___ .
Step-by-step explanation:
The required blank space is filled by the numbers, 5, -10, and 10.
Given that,
Starting at 0 move twice to the left______ spaces. 2 • (–5) = ______. The answer is the opposite of that value, ______ . To determine the solutions for the blank spaces.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
here,
The number line 2(-5), shows that move twice to the left 5 spaces.
And This results in -10 spaces having to move, and the outcome is the opposite of the number 10.
Thus, A complete solution is "Starting at 0 move twice to the left 5 spaces. 2 • (–5) = -10. The answer is the opposite of that value, 10.
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Brita has a monthly budget of x dollars. Every month, $1,425 is spent on her mortgage. One-third of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?
y=x−1,4253
y=1,425−x3
y=1,425+x3
y=x+1,4253
Answer:
y=1,425-×3
Step-by-step explanation:
the x has to be divided by the 1/3
m/5=3(2m+1) verbal expression
Answer:
m = -15/29
Step-by-step explanation:
1) Distribute
[tex]\frac{m}{5} =6m+3[/tex]
2) Subtract 6m from both sides of the equation
[tex]\frac{m}{5} -6m=6m+3-6m[/tex]
3) Simplify
a. Find common denominator
[tex]\frac{m}{5} +\frac{5(-6)m}{5} =6m+3-6m[/tex]
b. Combine fractions with common denominator
[tex]\frac{m+5(-6)m}{5} =6m+3-6m[/tex]
c. Multiply the numbers
[tex]\frac{m-30m}{5} =6m+3-6m[/tex]
d. Combine like terms
[tex]\frac{-29m}{5} =6m+3-6m[/tex]
e. Combine like terms
[tex]\frac{-29m}{5} =3[/tex]
4) Multiply all terms by the same value to eliminate fraction denominators
[tex]5 *\frac{-29m}{5} =5*3[/tex]
5) Cancel multiplied terms that are in the denominator
[tex]-29m=5*3[/tex]
6) Multiply the numbers
[tex]-29m=15[/tex]
7) Divide both sides of the equation by the same term
[tex]\frac{-29m}{29} =\frac{15}{-29}[/tex]
8) Simplify
a. Cancel terms that are in both the numerator and denominator
[tex]m=\frac{15}{-29}[/tex]
b. Divide the numbers
[tex]m=-\frac{15}{29}[/tex]
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Answer:
Step-by-step explanation:
a) $3.30/6kg = 0.55 dollars per kilogram
b) 448km/7h = 64 kiliometres per hour
For each unit rate, divide the units in where usually the biggest one is on top
Have a good one
What is an advantage of debt consolidation?
A. You will pay a higher interest rate.
B. You will have one monthly payment to manage.
C. You will have less time to make payments.
D. You will need to meet with a debt counselor.
An advantage of debt consolidation is: B. You will have one monthly payment to manage.
What is Debt consolidation?Debt consolidation can be defined as the way in which a person borrow or collect a loan so as to payoff their old debt or liabilities.
One of the advantage of debt consolidation loan is that you will have one monthly payment to manage or one bill to pay per month instead of several bill.
Therefore the correct option is B.
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You are driving to a city that is 23 miles away. So far, you have driven 10 miles. How many more miles do you have to drive?
Answer:
13
Step-by-step explanation:
23-10=13 you have 13 miles more to drive.
Solve for x and y. (Geometry)
Can you also show the steps of how u did it
Answer:
y = 10
x = 25
Step-by-step explanation:
From the U theorem the sum of these two angles 120+2x+y = 180
same goes for the bottom part too:
2x-y+140 = 180 now add two equations up
120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)
4x + 260 = 360 subtract 260 from both sides
4x = 100 divide both sides by 4
x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25
2*25 - y + 140 = 180
50 - y + 140 = 180 add like terms
190 - y = 180 subtract 190 from both sides
-y = -10 and y = 10
USE THE CLUES TO CRACK THE CODE
The digits of the code are 4,4, 0, and 2.
The number is less than 1.
The value of the thousandths digit is
value of the hundredths digit.
the
10
Answer:
Is the answer 0.244? Not sure whether you are asking for help or asking for others to do.
Which graph represents the table only A or B
2x2 + 2x-4?
Which expression is equivalent to
2x2 - 4x + 2
X+2
X-1
X-2
o – 2
x+2
X-2
Select the final coefficient (factor) and radicand after simplifying
372 +39–162 - 372
A) -9
B) 5
C) 16
D)-8
E)-4
F)6
hope it helps
#carry on learning!Which quantities appear to be in a proportional relationship?
Answer:
Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.
please help asap!!
-
-
-
-
Answer:
a. y = 2x + 1
b. 20
Step-by-step explanation:
a. With each increasing figure, two more blocks are added on. Through this, we can determine the rule:
y = 2x + 1
y being the total number of blocks in a figure
x being the number of the figure.
_________
b. To figure out which figure number has 41 squares, we can set the equation we found equal to 41.
41 = 2x + 1
40 = 2x
20 = x
So figure 20 will have 41 squares.
what is the gradient of the line (-4, 10) to (-2, 6)
Answer:
（2,-4）
Step-by-step explanation:
-4＋2＝-2
10＋-4＝10-4＝6
What is the square root of 18 plus the square root of 2? And is it rational or irrational?
Can someone help me with these two? Please
Answer:
8/9 and 2/3
Step-by-step explanation:
find common factor with each of the numbers and divide by that
16 and 18, 2 is the gcf.
16/2=8 18/2=9
the gcf in the second one is 5.
10/5=2 15/5=3
Hope this helps!
What is true about multiples of 6?
Each multiple will always be divisible by 3.
Each multiple will always end in a 6 or a 2.
Every multiple is an odd number.
Every other multiple is an odd number
Answer:
Each multiple will always be divisible by 3
Step-by-step explanation:
Answer:
the answer would be Each multiple will always be divisible by 3.
Callie had $24.65 to spend on groceries. After buying 6 potatoes, she had $18.95 left. If each potato costs the same amount, what is the price of one potato?
Answer:
Step-by-step explanation:
cost of 6 potatoes=24.65-18.95=5.70 $
cost of 1 potato=5.70÷9=0.95 $
What is the surface area of a cube if it has one side that is 40 cm
1) There are 44 dogwood trees currently in the park. Park workers will plant more
dogwood trees today. When the workers are finished there will bę 70
dogwood trees in the park. How many dogwood trees did the workers plant today?
Answer:
26
Step-by-step explanation:
there are already 44 dogwood trees
there will be 70 dogwood trees by the end of the day
we take how many dogwood trees there already are and subtract them from what there will be
70-44=26
What’s the rise over run ?????
Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than the boys
Answer:
18
Step-by-step explanation:
The boys collected:
12 · 16 = 192
The girls collected:
15 · 14 = 210
So the girls collected 18 more cans more than the boys.
(Integers calculation)
-108y^4 - 4y
I just need the steps, screw the answer if you want.
Answer:
-4y(3y + 1) (9y^2 - 3y + 1)
Step-by-step explanation:
-108y^4 - 4y
= -4y(27y^3 + 1)
= -4y(3y + 1) (3^2y^2 - 3y + 1)
= -4y(3y + 1) (9y^2 - 3y + 1)
Answer:
-4y(3y + 1) (9y^2 - 3y + 1)
9. A cup of tea costs x pence. Coffee costs 20 pence more. Hermes buys 2 cups of tea and one cup of coffee. In total Hermes pays £3.80. Work out the cost of a cup of tea.
Answer:
£1.20Step-by-step explanation:
Given:
Tea = xCoffee = x + 0.2Comparing the total cost, work out the value of x:
2x + x + 0.2 = 3.803x = 3.60x = 1.20
Subtract 2y - 3 from 8y-2.
Answer:
2(3y-2)
Step-by-step explanation:
Collect like terms
6y-4
Simple terms
2(3y-2)
HELP ME PLEASE!!!!! I NEED THIS BRAINIEST IF CORRECT ANSWER!!!!!
Answer:
- 3/4 feet per hour
Step-by-step explanation:
Rate of change is the slope.
Take two points on the graph and use the slope formula.
Points:
(0, 9) and (4, 6)The slope is:
m = (6 - 9)/(4 - 0) = -3/4what are the two possible names for the line between a reflection
Answer:
Line m, because if you put a mirror on m, one figure will be truly reflected in another
can someone please help me
Answer:
x = 1 and it's undefined yaaaaaaaaaaa
Help pls :) thanks!!!!!
Given :-
A bag has 20 counters .16 are green .To find :-
The probability that it is green .Solution :-
As we know that ,
P = Total no. of favourable outcomes/Total number of possible outcomesSubstitute ,
P(of getting a green ) = 16/20 P(of getting a green ) = 4/5Answer:16/20 equals 4/5
Step-by-step explanation:they are asking what is the probability that it is green so we know that 16 counters is green and total counters is 20 so it’s 16/20 and then you simplify it the answer is 4/5