Answer:
6.8 + r
Step-by-step explanation:
increased means addition, so add r to 6.8:
6.8 + r
Holly is taking out a loan in the amount of $10,000. Her choices for the loan are a 4-year loan at 4% simple interest and a 6-year loan at 5% simple interest. What is the difference in the amount of interest Holly would have to pay for each of these two loans?
Answer:
The difference in the amount of interest she would have to pay for the two loans is $1,400
Step-by-step explanation:
The amount of loan Holly is taking out, P = $10,000
The choices available for the loan are;
1) Loan duration, T₁ = 4-year
Interest rate, R₁ = 4%
2) Loan duration, T₂ = 6-year
Interest rate, R₂ = 5%
For the first choice, we have;
The simple interest, I, given by the formula;
[tex]I_1 = \dfrac{P \times R_1 \times T_1 }{100} = \dfrac{10,000 \times 4 \times 4 }{100} = \$ 1,600[/tex]
For the second choice, we have;
The simple interest, I, given by the formula;
[tex]I_2 = \dfrac{P \times R_2 \times T_2 }{100} = \dfrac{10,000 \times 5 \times 6 }{100} = \$ 3,000[/tex]
The difference, D, in the amount of interest she would have to pay for the two loans is therefore;
D = I₂ - I₁ = $3,000 - $1,600 = $1,400
The difference in the amount of interest she would have to pay for the two loans = D = $1,400.
Answer:
1400
Step-by-step explanation:
I got this question right...
A function takes an input of a whole number and if the number is less than 10, multiplies it by 5. If the input number is greater than or equal to 10, subtracts 5 from the input. If I input the numbers 8 and 14 into the function, what outputs should I expect to return?
Answer:
When you input 8, the output will be 40
When you input 14, the output will be 9
Step-by-step explanation:
let the function = fn
If fn < 10, then output = 5(fn)
If fn ≥ 10, then, Output = fn - 5
When you input 8 ( 8 is less than 10, then multiply by 5)
fn = 8 and 8 < 10
Output = 5(fn)
Output = 5 x 8
Output = 40
When you input 14 ( 14 is greater than 10, then subtract 5 from the input)
Output = fn - 5
Output = 14 - 5
Output = 9
i need help with this plz
Answer:
A. The 14 in the expression could be changed to 28
Because 40% of 70 is 28
What’s the quotient of 23!divided by 7
You have $70 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b = 70 + (10 + 7)w gives the amount b in your account after w weeks. How many weeks from now will you have $185 in your bank account?
Answer:
After 7 weeks from now you will have $185 in your bank account.
Step-by-step explanation:
We are given that you have $70 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b = 70 + (10 + 7)w gives the amount b in your account after w weeks.
The equation is given by;
b = 70 + (10 + 7)w
Now, in the question, it is given that you have $185 in your bank account, that means;
$185 = $70 + $17w
Finding the value of w(weeks);
$17w = $185 - $70
$17w = $115
w = [tex]\frac{\$115}{\$17}[/tex]
w = 6.76 weeks or 7 weeks (approx).
Hence, after 7 weeks from now you will have $185 in your bank account.
need help to find the Value of X
Answer:
83
Step-by-step explanation:
All sides of a triangle combined equal 180 so you would add the values you have and then subtract it from 180
Step-by-step explanation:
We know that:-
All angles of a triangle sum up to give 180°.
So, According to Question,
[tex]20 + 87 + x = 180[/tex]
[tex]107 + x = 180[/tex]
[tex]x = 180 - 107[/tex]
[tex]x = 73[/tex]
So, x = 73° is the answer.
Hope it helps :)
Write an equation for the translation of y = |x|. 16.5 units right
Solve for X: b(-4c+2x) = a(-2–qx)
Answer:
x = − 2 (a − 2 b c ) / 2 b + a q
Step-by-step explanation:
b(-4c+2x) = a(-2–qx)
−4bc+2bx=−2a−aqx
2bx=−2a−aqx+4bc
2bx+aqx=−2a+4bc
x(2b+aq)=−2a+4bc
x(2b+aq)=−2(a−2bc)
x=[tex]-\frac{2(a-2bc)}{2b+aq}[/tex]
Solve.
6-7x= 7x- 9x - 4
The value of x is _.
Answer:
x = 2
Step-by-step explanation:
Step 1: Write equation
6 - 7x = 7x - 9x - 4
Step 2: Solve for x
Combine like terms: 6 - 7x = -2x - 4Add 7x to both sides: 6 = 5x - 4Add 4 to both sides: 10 = 5xDivide both sides by 5: 2 = xRewrite x = 2Step 3: Check
Plug in x to verify it's a solution.
6 - 7(2) = 7(2) - 9(2) - 4
6 - 14 = 14 - 18 - 4
-8 = -4 - 4
-8 = -8
Fernanda needs to find a table that will fit three cube-shaped cases, each containing a small animal , if the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 2 2/1 feet long and foot wide (hint there r 12 inches in afoot
Answer:
What kind of name is fernanda lol
Step-by-step explanation:
Zachary's dad gave him $80 for cleaning out the garage. He used the money to buy a $14.50 book and three games that cost $8.20 each. Zachary also
bought lunch for himself.
If Zachary went home with 1/4 of the money his dad gave him, how much was his lunch?
Answer:
lunch was $20.90
Step-by-step explanation:
b) 8.03 x 10^6 + 4.0 x 10^4 =
Answer:
uhm- 8070000? i think-
The temperature in St. Louis is 31 degrees. The temperature in Duluth is -29 degrees. Is the temperature in St. Louis or Duluth closer to zero degrees?
Answer:
The temperature in Duluth is closer to zero
Step-by-step explanation:
-29,-28,-27,-26,-25,-24,-23,-22,-21,-20,-19,-18,-17,-16,-15,-14,-13,-12,-11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31
-29<31
Answer:
Duluth
Step-by-step explanation:
The temperature in Duluth is closer to 0 degrees.
Try to think of these two numbers on a number line.
-29 degrees is 29 points away from 0 → -29 + 29 = 0
However, 31 degrees is 31 points away from 0. If you subtract Duluth's temperature from St. Louis's temperature, you get 2.
31 + (-29) = 2
Since Duluth's temperature would be exactly zero degrees and St. Louis's temperature would be two degrees from zero, Duluth is closer to zero degrees.
Hope that helps.
Please help on this: Given: 4c-d = f, d = c-e, f = d + e; Prove: 3c = d
Answer:
Step-by-step explanation:
Given the equations:
4c-d = f ....... 1
d = c-e....... 2
f = d + e....... 3
Substitute 2 into 1
4c -(c-e) = f
4c -c + e =f
3c + e = f ......4
Substitute equation 3 into 4:
3c+e = d+e
subtract e from both sides
3c+e-e = d+e-e
3c = c (Proved)
Define the word expression to me. Use proper English and complete sentences.
Answer:
a finite combination of symbols that is well-formed according to rules that depend on the context
Step-by-step explanation:
why do i feel like you have the same math teacher as me he asked me the same question on google classroom anyways hope this helps
Somebody please help!
Answer: You need to combine like terms the answer is 2y+2x
Answer:
2y + 2x
Step-by-step explanation:
I assume the question was to simplify/combine
Graph 4/3 on the number line.
Answer:
The line on the right, closest to 1.
Step-by-step explanation:
We know since it is four thirds, that it is more than 1. That shows us it'll be at least on or over the 1 point.
Then we have one third, there's three points. Put it on the first point leading to 2.
What is the domain of the function y=tan(x/8)?
Using it's concept, it is found that the domain of the function y = tan(x/8) is given by:
All real numbers except [tex]x \neq 4\pi + 8n\pi[/tex], where n is any integer.
What is the domain of a function?It is the set that contains all possible input values for the function.
Tangent of an angle is sine of the angle divided by the cosine of the angle, and the cosine is 0 at:
[tex]\frac{\pi}{2} + n\pi[/tex]
Hence, supposing a composite tangent function [tex]\tan{[f(x)]}[/tex], the domain is given by:
[tex]f(x) \neq \frac{\pi}{2} + n\pi[/tex]
In this problem, we have that [tex]f(x) = \frac{x}{8}[/tex], hence the domain is:
[tex]\frac{x}{8} \neq \frac{\pi}{2} + n\pi[/tex]
[tex]x \neq 4\pi + 8n\pi[/tex]
All real numbers except [tex]x \neq 4\pi + 8n\pi[/tex], where n is any integer.
More can be learned about the domain of a function at https://brainly.com/question/27730656
#SPJ2
Answer:
It's B
Step-by-step explanation:
Evaluate p-(-13) if p = -6.
Answer:
78
Step-by-step explanation:
40.53 grams divided by 25.5ml rounded to the nearest hundredth
Hi!
Your answer should be: 2.00 (or 2).
Hope this helps!
4(k-3) = -12 + 4k
-7 + 40w = 8 (5w -2) +9
0=8z-8z
42(v+9)-343=7-(-3x -11)
18b+32=6b+4(8+3b)
A pair of in-line skates are on sale for 90$. If this price represents a 9% discount from the original price, what is the original price to the nearest cent?
Choices~
$1,000
$98.90
$8.10
$81.90
Answer:
$98.90 looks right to me
7th grade help me plzz
Answer: I think C
..............................
what is a polygon. explain
Answer:
A plane figure with at least having three side and angles.
Step-by-step explanation:
typically five or more than five.
Suppose that 50% of the subscribers of a cable television company watch the shopping channel at least once a week. The cable company is trying to decide whether to replace this channel with a new local station. A survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.585. What is the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only .50? (Round the answer to four decimal places.)
Answer:
The probability is [tex]P( p > 0.585) = 0.044565 [/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.50
The sample size is n = 100
Gnerally the mean of the sampling distribution is
[tex]\mu_x = 0.50[/tex]
Generally the standard deviation of the sampling distribution is
[tex]\sigma = \sqrt{\frac{p(1- p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.5 (1- 0.5)}{100} }[/tex]
=> [tex]\sigma =0.05[/tex]
Generally the approximate probability that the cable company will keep the shopping channel
[tex]P( p > 0.585) = P(\frac{p- \mu_{x}}{\sigma } > \frac{0.585 - 0.50}{0.05} )[/tex]
Generally [tex]\frac{p- \mu_{x}}{\sigma } = Z (The \ standardized \ value \ of p )[/tex]
=> [tex]P( p > 0.585) = P(Z > 1.7 )[/tex]
From the z-table the probability of (Z > 1.7 ) is
[tex]P(Z > 1.7 ) = 0.044565[/tex]
So [tex]P( p > 0.585) = 0.044565 [/tex]
If a relation is a function, that means that each input has ____ output(s).
a. exactly one
b. two
c. several
Answer:
a exactly one
Step-by-step explanation:
do you choose to be in the honors program in middle school?
Answer:
You'll need to have great test scores to qualify for admission.
What’s the quotient of 7 divided by 23?
Answer:
0.3043
Step-by-step explanation:
7/23 = 0.3043
Solve for P
6p - 2 - 3p = 4
Solve for W
7w - 5 = -2w + 22
Answer:
p=2 w=3
Step-by-step explanation:
6p-2-3p=4 combine like terms. 3p-2=4. add 2 to both sides. 3p=6. divide 6 both sides by 3. p=2
7w-5=-2w+22. Combine like terms on same sides. 7w+2w=5+22. 9w=27. Divide both sides by 9. w=3.
Answer:
p = 2w = 3Step-by-step explanation:
Solve for P
6p - 2 - 3p = 4
6p - 3p = 4 + 2
3p = 6
p = 6/3
p = 2
Solve for W
7w - 5 = -2w + 22
7w + 2w = 22 + 5
9w = 27
w = 27/9
w = 3
Amber earned $14.50 babysitting on Saturday. On Sunday, she spent $6.95 when she purchased a movie ticket. She needed to borrow money from a friend money did Amber pay for the snack if she owes her friend $5?
a. $9.50
b. $12.55
c. $16.45
d. $26.45
Answer:
I think the answer is B. $12.55
Step-by-step explanation:
14.50 - 6.95 = 7.55
7.55 + 5 = 12.55
Hi!
your answer would be: B
Reason being: If you subtract $6.95 from $14.50 you get $7.55 (which is what she had leftover after she bought the ticket). She needed $5 more to get snacks, so add $5 to $7.55 and you get $12.55.
Hope this helps!