[tex]\bf Step-by-step~explanation:[/tex]
If we were to solve for a, we will need to isolate the variable.
[tex]\bf Step~1:[/tex]
Add the like terms on the right side of the equation together.
[tex]\bf 8=a+3+4\\8=a+7[/tex]
[tex]\bf Step~2:[/tex]
Subtract 7 from both sides to move 7 to the other side.
[tex]\bf 8(-7)=a+7(-7)\\1=a[/tex]
[tex]\bf Step~3:[/tex]
Rewrite the equation so that the variable is at the beginning. This is the format most teachers prefer.
[tex]\bf 1=a\\a=1[/tex]
[tex]\large\boxed{\bf Our~final~answer:~a=1}[/tex]
ms tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly. If she does not add to or withdraw from the account for 2 years, how much interest will she have earned for the 2-year period?
$2050
Step-by-step explanation:$20000×1.05×1.05 =
= $20000×1.05²
= $20000×1.1025
= $22050
$22050 - $20000 = $2050
The interest earned for a 2-year period is $2050
What is compound interest?Compound interest simply means that the interest associated with a bank account, loan, or investment increases exponentially over time.
Given that, Ms Tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly, she does not add to or withdraw from the account for 2 years,
We know that,
[tex]A = P(1+r)^t[/tex]
A = amount
P = principal
r = rate
t = time
Putting all the values in the formula,
A = 20000(1+0.05)²
A = 20000(1.05)²
A = 20000×1.1025
A = 22050
Interest earned = Amount - Principal
= 22050 - 20000
= 2050
Hence, the interest earned for a 2-year period is $2050
For more references on compound interest, click;
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Christian wants to make an A in his class. There are 5 exams this year, and he has taken 4 of them. His grades were 84, 88, 95, and 104. What grade must Christian earn on the last exam to get an average of at least a 90?
Answer:
last test grade=x x ≥ 79 so 79%
Step-by-step explanation:
(84/5)+(88/5)+(95/5)+(104/5)+(x/5) ≥ 90
Simplify: (371/5)+(x/5) ≥ 90
Subtract (371/5) from both sides
Then you have (x/5) ≥ (79/5)
Then multiply both sides by 5 and you have x ≥ 79
P.S. If it was helpful please consider giving me brainliest. =)
If u=18, x=−10, and y=8 what is the value of u+xy?
Answer:
-62
Step-by-step explanation:
Step 1: Define
u = 18
x = -10
y = 8
u + xy
Step 2: Substitute
18 + -10(8)
Step 3: Evaluate
18 - 80
-62
simplify (sin^4(x) - cos^4(x)) / (sin^2(x) - cos^2(x))
Answer:
1
Step-by-step explanation:
Using the trig. identity
sin²x + cos²x = 1
Given
[tex]\frac{sin^4x-cos^4x}{sin^2x-cos^2x}[/tex]
[tex]sin^{4}[/tex]x - [tex]cos^{4}[/tex]x ← is a difference of squares and factors as
(sin²x - cos²x)(sin²x + cos²x), then fraction becomes
= [tex]\frac{(sin^2x-cos^2x)(sin^2x+cos^2x)}{sin^2x-cos^2x}[/tex] ← cancel (sin²x - cos²x) on numerator/ denominator
= sin²x + cos²x
= 1
Please help Factor the expression using the GCF the expression 32z-48 factored using the GCF is
Answer:
16(2z -3)
Step-by-step explanation:
There are two ways of solving this problem.
List out the factors of the numbers:
32z - 48
= 32 * z - 48
32= 1, 2, 4, 8, 16, 32
48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
the largest common factor that both numbers have in common is 16,
So factoring the equations means the one has to divide the equation by 16 and write it outside of the parenthesis.
16 * ( 2 * z - 3)
16(2z -3)
Another way of solving the problem:
prime factorize the number:
32 = 2^5
48 = 2^4 * 3
Both numbers have 2^4 as their largest factor in common meaning that that is their GCF. 2^4 is 16.
Now factor out 16 and write it on the outside of the parenthesis.
16 * ( 2 * z - 3)
16(2z -3)
Answer:
16(2z -3)
Step-by-step explanation:
16x + 27
14x – 45
25x
Use the model to solve for x. A) x = 1 B) x = 3 C) x = 5 D) x =
Answer:
D){?} x = 7Step-by-step explanation:
x + 3•(+1) = 2•x + 4•(-1)
x + 3 = 2x - 4
-3 -3
x = 2x - 7
-2x -2x
- x = -7
÷(-1) ÷(-1)
x = 7
Order the values from
least to greatest:
| -4|,|3|, 0,-1
Answer: -4, -1, 0, 3
Please help .
77 is written as the product of two prime numbers 7 × 11. Can 702 be written as the product of two prime numbers? If not, why?
702 can not be written as the product of 2 prime numbers, because if you divide 702 by 2 then you get 351 and that is not a prime number. Therefore 702 is a prime number.
BOYS AND GIRLS there were 6 girls and 18 boys in Mrs.Johnsons math class. write the number of girls as a fraction of total class. then write the fraction as a decimal.
bruh no one answers my question
Answer:
what was your question?
3(a - 1) + 2a = a + 1
Answer:
a = 1
Step-by-step explanation:
Step 1: Write equation
3(a - 1) + 2a = a + 1
Step 2: Solve for a
Distribute 3: 3a - 3 + 2a = a + 1
Combine like terms: 5a - 3 = a + 1
Subtract a on both sides: 4a - 3 = 1
Add 3 on both sides: 4a = 4
Divide both sides by 4: a = 1
3x+2y+6-7x+y+10x-6x-3y-6
Answer:
3x+2y+6-7x+y+10x-6x-3y-6
13x-13x+3y-3y+6-6
0
Piper went to the store to buy some apples. The price per pound of the apples is $5.25 per pound and she has a coupon for $4.75 off the final amount. With the coupon, how much would Piper have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.
Answer:
Cost of 3 pounds:
5.25(3)−4.75=11
Cost of p pounds:5.25p-4.75
5.25p−4.75
Step-by-step explanation:
Since 1 pound of apples costs $5.25, 3 pounds of apples would cost $5.25 5.25×3 or $15.75. The coupon would save $4.75, so the final cost is $15.75-$4.75 or $11.
Cost of 3 pounds:
5.25(3)−4.75=11
Cost of p pounds:5.25p-4.75
5.25p−4.75
Is 27.14 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is any number that repeats and/or isn't infinite. An irrational number is a number that is infinite and never repeats. (Like Pi. 3.1415926535... etc.) 27.14 isn't infinite so therefore it's rational.
answerrrrrrrrrrrrrrr pleaswe correctly.
Hey There!!
The answer to this is: A.
the line will cross the y intercept at 6 therefor the only option that has 6 is the first one the slope will be 1/2
Hope It Helped!~
Good Luck With Your Assignment!~
[tex]UsedLess[/tex]~
(^///^)
Which function has a domain of x>-5?
Answer:
f(x)=x-5 is a linear function
Step-by-step explanation:
so there are no restrictions to what x can be. The domain is all real numbers. In interval notation, we show that is can be anything from negative infinity through infinity like this: This says that the lower limit of the domain is negative infinity and the upper limit is positive infinity.
Solve the equation for d.
Answer:
[tex]d=\frac{f+4}{3}[/tex]
Step-by-step explanation:
3d - 4 = f
add 4 to both sides
3d = f + 4
divide both sides by 3
d = f/3 + 4/3
Write "twenty-four and seventy thousandths" using base-ten numerals.
Answer:
24.070
Step-by-step explanation:
twenty-four and seventy thousandths
24
and means change from integers to fractions
24 70/1000
or as a decimal
24.070
The difference between twelve and 2/3 of a number is 18. What is the number?
Answer:
FUVULYFVULO 8O75V IYDKLL RU,KJBUUCD
Step-by-step explanation:
5GTIDHKIIIIIIIIFH LVS65344B 5649IOKNJMHXJBN LO9
IJKNBKJSIHERk?/ q
WQRIUUHOFJG
IUVNIGTR
FKNGIKSG'FJDJFSD
DJXFN
DNGKDM
SNFIDSFJOSE9IR9WQ3W
pls help asap i need the help
Answer:
-2.5 is correct answer
Ans.=The class width of the class 200 - 215 is
Answer: -15
Step-by-step explanation:
200
-215
- 15
Hope this helped
B is between A and C. If AB = 7x - 2, BC = 3x + 1 and AC = 59, Find AB
Answer:
AB = 40Step-by-step explanation:
B is between A and C so:
AB + BC = AC
7x - 2 + 3x + 1 = 59
10x - 1 = 59
+1 +1
10x = 60
÷10 ÷10
x = 6
AB = 7x - 2 = 7×6 - 2 = 42 - 2 = 40
Use the equation below to find v, if u=16, a=11, and t=2.
v=u+at
Answer:
38
Step-by-step explanation:
v=u+at
v=16+11(2) Do multiplication first
v=16+22
v=38
Answer:
38
Step-by-step explanation:
1. Plug in the each number for its variable to get v = 16 + 11 x 2
2. Multiply 11 and 2 to get 22
3. add 16 to 22 to get 38
8 + 3a + 7 - 2a simplifies to
8+3a-2a+7=0
8+a+7=0
a+15=0
a= (-15)
Hope it helped
Thank YouA muffin recipe uses 1/3 cup of milk per batch. Which model shows how many batches can be made with 3 cups.
Answer: 1/3
Step-by-step explanation:
Write the slope-intercept form of the equation:
7x + 5y = -35
Answer:
[tex]y=\frac{-7x}{5} -7[/tex]
Step-by-step explanation:
[tex]7x+5y=-35\\5y=-35-7x\\y=\frac{-35-7x}{5} \\y=-7-\frac{7}{5} x\\[/tex]
Write a function g whose graph represents the indicated transformation of the graph of f.
f(x) = 4 - 6x +11
Answer:
well definitely the graph is y= -6x + 15 so the graph of -6x is transformed up 15 units on the y axis
Step-by-step explanation:
A researcher compared the heights and shoe sizes for 50 men, selected at random. The equation shown describes a line of best hit for the data where is the shoe size and y is the height, in inches. y = 1.61 +48 Based on the equation, what is the approximate shoe size for a man having a height of 60 inches?
Answer:
7 1/2
Step-by-step explanation:
try putting (1.6 x 7.5)+48 in a calculator i just put random numbers in the x spot until i got 60 lol
The Hill family's budget was $3,890 a month. If they spent 15% of their budget on food. How much did they spend each month on food?
Answer: 583.5 dollars
Step-by-step explanation: