[tex]\huge\boxed{\bf{Hi\:there!}}[/tex]
All we have to do to simplify this expression is multiply 8 by 12 and a:
8(12+a)
96+8a
That's our final answer.
[tex]\huge\boxed{\bold{Hope\:it\:helps!\:Good\:luck!}}[/tex]
[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]
The distributive property is defined as:
a x (b + c) = a x b + a x c
a x (b - c) = a x b - a x c
The final value of the expression 8 x (12 + a) after simplification using the distributive property is 96 + 8a.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
8(12 + a)
We will apply the distributive property.
The distributive property is defined as:
a x (b + c) = a x b + a x c
a x (b - c) = a x b - a x c
Now,
8 x (12 + a ) is in the form of a x (b + c)
So,
8 x (12 + a)
= 8 x 12 + 8 x a
= 96 + 8a
Thus,
The final value of the expression 8 x (12 + a) after simplification using the distributive property is 96 + 8a.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Liam opened a savings account with a $400 deposit and a simple interest rate of 7.5%. If the balance of the account is now $670 and there are no deposits or withdraws, how long ago did he open the account?
Answer:
If he deposited weekly, he would be depositing 9 dollars each week.
Step-by-step explanation:
Just thank me later and click the crown at the top of this answer if it helped ;)
Plz I need help this is due at 7:10
Answer:
8units²
Step-by-step explanation:
Area of the trapezoid = 1/2(a+b)h
a and b are the opposite sides
h is the height
Take a square as 1 unit
a = 1 unit
b = 3 units
height h = 4 units
Substitute
A = 1/2(1+3)*4
A = 1/2 * 4 * 4
A = 16/2
A = 8units²
Hence the area of the trapezoid is 8units²
Amy and three of her friends went to lunch. The total bill was $54.00. If they wanted to leave a 20% tip how
much more is added tot he bill?
If the girls split the bill evenly, how much does Amy pay?
Answer:
$16.20
Step-by-step explanation:
Bill: $54.00
Tip: 20%
People: 4
To figure out 10% of the bill, you need to move the decimal point over to the left one place: $5.40
10%: $5.40
5.40 times 2 = $10.80
54.00 + 10.80 = 64.80
Grand Total= $64.80
Since there are 4 people, we need to divide by 4:
64.80 divided by 4 = $16.20
A number equals four less than three times the number.
How do you write this equation
Answer:
n = 4 - 3
Step-by-step explanation:
calcule el cociente de los siguientes ejercicios
(-8)/(+2)
Answer:
-4
Step-by-step explanation:
A school staff meeting had 50 teachers in attendance, 30% of whom were first-year teachers.
How many first-year teachers were in the meeting?
Answer:
15
Step-by-step explanation:
50 times 30 over 100 you will get 15
A person who filed bankruptcy in the past is able to get a 30-year mortgage loan at a rate that is 6% higher than what they could have received if they had not filed. The interest rate this person pays on a $150,000 loan is 11%, compounded monthly. Assume the person could have received the lower interest rate on the loan and saved all of the difference in the payments for the first 10 years of the loan. If this person invested this total amount in an account paying simple interest at the rate of 2.5%, how much money would have accumulated in interest by the time the mortgage is paid off? a. $37,395.18 b. $74,790.37 c. $623.25 d. $3,739.52
Answer:
A. $37,395
Step-by-step explanation:
correct on edge! hope it helps :)
The savings from the difference between the 30–year loan at 11%, which
is 6% gives an interest when the mortgage is paid of approximately;
a. $37,395.18
How can the amount interest accumulated be calculated?
The amount paid is given as follows;
[tex]Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}[/tex]
Which gives;
[tex]M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}[/tex]
Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8
At the lower interest rate the person could have received (11 - 6 = 5)%, we have;
[tex]M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23[/tex]
Payment in 10 years = $805.23 × 120 ≈ $92,227.6
Savings = $171,418.8 - $96,627.6 = $74,791.2
The time duration the savings is invested in the account = 30 years - 10 years = 20 years
Which gives;
Simple interest after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6
Therefore;
The option that best gives the amount of money that would have accumulated in interest is the option a.
a. $37,395.18
Learn more about compound and simple interest here:
https://brainly.com/question/24557100
https://brainly.com/question/9245816
the value of the 5 in the number 40.52 is _____ the value of the 5 in 115.78?
The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The value of 5 in the given numbers can be written as,
The value of the 5 in the number 40.52 is 0.5.The value of the 5 in the number 115.78 is 5.Now, we can write the value of the two numbers as,
5 = 0.5 × x
x = 5/0.5
x = 10
Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
Learn more about the Place Value here:
https://brainly.com/question/27734142
#SPJ2
Using the equation 2 + 3/41 = 5, what does the value of I equal?
Answer:
i did't see the value I in the equation
Step-by-step explanation:
what is 0.48 times 0.4
Answer:
0.193
Step-by-step explanation:
what factors you think determines more earthquakes will occur in an area
Answer:
Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.
The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place
Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.
Choose the number that correctly completes the ratio table.
Answer:
its 8:9
Step-by-step explanation:
It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.
boole summation formula used in real life
How Many Times Done 16 go Into 78!??!!!!?!!?!??!?!?! HELP ME!!!
Answer:
4.87500
Step-by-step explanation:
hope this helps
Answer:
4.875
Step-by-step explanation:
78 divided by 16 = 4.875
Can you help me on question 25?!
What is the product of 148x27
Answer:
3996 :)
Step-by-step explanation:
Answer:
3,996
Step-by-step explanation:
Hope this right.but if it's not,im so sorry
Anthony spent $10.24 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.00 tip. How much did Anthony have left from his twenty dollar bill? A. $0.80 B. $7.76 C. $9.76 D. $12.24
Answer:
$7.96
Step-by-step explanation:
20 - 10.24 = 9.96 - 2 = $7.96
-20 greater than or equal to 5w
Hurry!!!
11 b = 5, what is a
B. 25
C, 75
D. 125
Answer:
2.2
Step-by-step explanation:
Reuben invested his savings in two investment funds. The $18,000 that he invested in Fund A returned a 5% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 4% profit?
Answer:
He invested $13500 in fund A, and $4500 in Fund B
Step-by-step explanation:
maths
Someone please help and explain will mark brainliest
Answer:
Lee earns 2x.
They both earn 3x.
Step-by-step explanation:
If mic earns x, and lee earns 2 times as much, it will be x * 2, or 2x. Then adding mic's salary, x, the number will result in 2x+x. This simplifies into 3x.
how do you know how many solutions are possible for a system of equations
Answer:
Step-by-step explanation:
If the slopes are the same but the y-intercepts are different, the system has no solution.
If the slopes are different, the system has one solution.
If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
Answer:
Step-by-step explanation:
If you mean linear systems. If lines have a different slope there will be one solution. If they have the same slope (parallel) and a different y intercept there are zero solutions. If they have same slope and y intercept than they are the same line and have an infinite number of solutions.
Mr. Thomas bought 12 pounds 8 ounces of flour. If he uses 4 ounces of flour for each batch of
sugar cookies, how many batches of sugar cookies can he make? (1)
y = -2x + 3
4x - 5y = 13
Answer:
letters do not belong in math
Step-by-step explanation:
1=1-2=3
Write the coordinates of the vertices after a reflection across the line x=-1
Answer:
U is (0,-8)
V is (0,-10)
T is (5,-8)
S is (5,(-10)
2x+3y=5x-y2x+3y=5x−y
HELP ME FAST PLSSS<3
A bottle of juice states that a serving is 1/2 cup. How many servings are in a 2-pint container? (one pint= 2 cups)
Answer: 8 servings
Step-by-step explanation:
1/2 cup + 1/2 cup = 1 cup
> 1 cup + 1 cup = 2 cups = one pint
1/2 cup + 1/2 cup = 1 cup
if 4 servings go in one pint then 8 servings goes in 2 pint
Answer:
8 cups/servings.
Explanation:
Can't explain further more because I'm not good in explaining things yet I'm sure that's the correct answer.
9 × 10²
I NEED ANSWERS QUICK
what are scale drawings
Answer:
A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
Step-by-step explanation:
Answer:
Answer down below!
Step-by-step explanation:
A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.
Calculate the slope look at pic. Help plz!