Answer:
4x
Step-by-step explanation:
It cost me $46,80 to fill my 13-gallon gas tank. What was the price of gas
per gallon?
Nathaniel invested $37,000 in an account paying an interest rate of 5.7% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $70,900?
Answer:
11
Step-by-step explanation:
\text{Compounded Daily:}
Compounded Daily:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=70900\hspace{35px}P=37000\hspace{35px}r=0.057\hspace{35px}n=365
A=70900P=37000r=0.057n=365
Given values
70900=
70900=
\,\,37000\left(1+\frac{0.057}{365}\right)^{365t}
37000(1+
365
0.057
)
365t
Plug in values
70900=
70900=
\,\,37000(1.0001562)^{365t}
37000(1.0001562)
365t
Simplify
\frac{70900}{37000}=
37000
70900
=
\,\,\frac{37000(1.0001562)^{365t}}{37000}
37000
37000(1.0001562)
365t
Divide by 37000
1.9162162=
1.9162162=
\,\,1.0001562^{365t}
1.0001562
365t
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\log\left(1.0001562^{\color{blue}{365t}}\right)
log(1.0001562
365t
)
Take the log of both sides
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\color{blue}{365t}\log\left(1.0001562\right)
365tlog(1.0001562)
Bring exponent to the front
\frac{\log\left(1.9162162\right)}{\log\left(1.0001562\right)}=
log(1.0001562)
log(1.9162162)
=
\,\,\frac{365t\log\left(1.0001562\right)}{\log\left(1.0001562\right)}
log(1.0001562)
365tlog(1.0001562)
Divide both sides by log(1.0001562)
4164.8632402=
4164.8632402=
\,\,365t
365t
Use calculator
\frac{4164.8632402}{365}=
365
4164.8632402
=
\,\,\frac{365t}{365}
365
365t
Divide by 365
11.4105842=
11.4105842=
\,\,t
t
t\approx
t≈
\,\,11
11
Using compound interest, it is found that it would take 11 years for the value of the account to reach $70,900.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.Hence, the parameters are given as follows:
[tex]A(t) = 70900, P = 37000, n = 365, r = 0.057[/tex]
We have to solve for t, then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]70900 = 37000\left(1 + \frac{0.057}{365}\right)^{365t}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = \frac{70900}{37000}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = 1.91621622[/tex]
[tex](1.00015616)^{365t} = 1.91621622[/tex]
[tex]\log{(1.00015616)^{365t}} = \log{1.91621622}[/tex]
[tex]365t\log{1.00015616} = \log{1.91621622}[/tex]
[tex]t = \frac{\log{1.91621622}}{365\log{1.00015616}}[/tex]
t = 11.41
Rounding to the nearest year, it would take 11 years for the value of the account to reach $70,900.
More can be learned about compound interest at https://brainly.com/question/25781328
#SPJ2
SOLVE FOR X. HELP ME NOW PLEASE!
Answer:
For number 2, its A. For number 1, its C.
Step-by-step explanation:
For both equations, you just set it equal to to each other because alternate interior angles are equivalent.
2) The equation would be
7x+3=6x+12
Then solve.
1) The equation would be
14x-3=95
Then solve.
I love geometry! If you have questions, just comment.
James bought 6 2/3 cups of raising to use in a recipe for oatmeal raisin cookies. If he plans on making three separate batches of cookies, how many cups of raisins will go to each batch?
eu não sei
espero ter ajudado muito
espero ter ajudado muito
What pair of factors of -45 has a
sum of 4?
Answer:
9 and -5
Step-by-step explanation:
9*-5=-45
9+-5=4
The pair of factors is 9 and -5.
What is a factor?
The factor of a number is another number that can divide the first number without any remainder.
Let, one of the factors is x.
Then, the other factor is = -45/x.
Given,
x + (- 45/x) = 4
⇒ x - 45/x = 4
⇒ x - 45/x - 4 = 0
⇒ x² - 45 - 4x = 0
⇒ x² - 4x - 45 = 0
⇒ x² - 9x + 5x - 45 = 0
⇒ x(x-9) + 5(x-9) = 0
⇒ (x-9) (x+5) = 0
Hence, x = 9, -5.
Learn more about factors here: https://brainly.com/question/16603643
#Tag #SPJ2
Angie uses the equation E=0.03s + 25,000 to find her yearly earning E based on her total sales s. What is the independent variable
Answer:
25000
Step-by-step explanation:
it's independent because it's not related with her total sales s
What is the equation of the line in the graph?
Answer:
Step-by-step explanation:
Which graph is the solution to the inequality below?
Answer:
it the third answer
Step-by-step explanation:
3(x-5)< 5x+7
x>-11Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.
1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
versus
2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
answer choices:
A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.
B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.
C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.
D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.
by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas
Step-by-step explanation:
Barry wants to take out a loan from his bank for $1000 to buy bicycle the interest rate on the loan from the bank is 9% he wants to pay the toll amount in three monthly payments what is the amount that vary with pay in interest rate loan
Answer:
22.50
Step-by-step explanation:
formula I=prt
I=1000x0.09x.25
I=22.50
The required interest paid by Barry is given as, $22.5.
Given that,
Barry wants to take out a loan from his bank for $1000 to buy a bicycle the interest rate on the loan from the bank is 9% he wants to pay the toll amount in three monthly payments what is the amount that varies with pay in interest rate loan is to be determined.
Simple interest is defined as the percentage of earnings on the lending for a period of time
Here,
Principal = 1000
Rate = 9%
Time = 3 / 12 = 0.25 years
So,
Interest = Principal × rate × time
interest = 1000 × 0.09 × 0.25
Interest = $22.5
Thus, the required interest paid by Barry is given as, $22.5.
Learn more about interest here:
https://brainly.com/question/20406888
#SPJ2
Chau has bought 30 pounds of dog food. He feeds his dog 3/5 pounds for each meal. For how many meals will the food last?
Answer:
50 meals.
Step-by-step explanation:
30 divided by 3/5= 50
You form a company with two other partners. You own 40%, partner two owns 35% and partner three owns 25%. The company makes $950,000 in the first year and distributes profits in proportion to each partners ownership share. How much does partner two get?
Answer:$332,500
Step-by-step explanation:
I used a percent calculator and got it correct
True or False
If an acute angle is 80o then we add the obtuse angle of 110o to equal 180o?
Answer:
true
Step-by-step explanation:
What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?
144
4⋅144
564
414
Answer:
144
Step-by-step explanation:
i just did the test
Which shows the equation below written in the from ax^2 + bx + c = 0? x + 9 = 2(x - 1) ^2
Answer:
i may be wrong but i thinks its A
Step-by-step explanation:
mx - y = 7
How do I solve for x
Explanation and Awnser:
y=mx−7
Swap sides so that all variable terms are on the left hand side.
mx−7=y
Add 7 to both sides.
mx=y+7
Divide both sides by m.
m
mx
=
m
y+7
Dividing by m undoes the multiplication by m.
x=
m
y+7
Given: PQRS is a parallelogram; S, P, and T are collinear. Prove: ∠1 ≅ ∠4.
Answer:
∠1 ≅ ∠4 because yeah
Step-by-step explanation:
PLEASE HELP!!! GIVING BRAINLIST
If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14
Answer:
D. 14
make y the subject of the formula in equation 1 and then substitute it in equation 2
Identify all segments that are parallel to XY
A. ST
B. VZ, VW, ST
C. QR, QU
D. VW
Answer:
a. ST
Step-by-step explanation:
Paige ran 3 miles on Monday, walked 8 miles Tuesday
and ran a combined 11 miles on Wednesday and
Thursday. How many total miles did Paige exercise in
four days?
Answer:
22
Step-by-step explanation:
add 11 + 8+ 3
A = p + prt solve for t
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t
A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?
Answer:
$32Step-by-step explanation:
Step one:
Given that membership is $9 and the cost per visit is $1
let the number of visits be x
and the total cost be y
the total cost for the situation is modeled as
y=mx+c-----equation of a line
Step two:
given that x=23, we can solve for the totals cost as
by substituting we have
y=1*23+9
y=23+9
y=32
The total cost for 23 visits is $32
Find the value of x.
Answer:
x=3
Step-by-step explanation:
BRAINLIEST plzzzzzzzzzzzzzzzzzz
At Gloria’s Restaurant, the average diner tips 18% of their total bill. Carter’s bill was $66.50. How much money should Carter tip?
Answer:
$11.97
Step-by-step explanation:
If Carter were to tip that 18%, then he should give a $11.97 tip.
0.6650 x 18 = 11.97
The amount Carter should tip at the restaurant is $11.97.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, At Gloria’s Restaurant, the average diner tips 18% of their total bill.
Therefore, The amount Carter must tip should be 18% of 66.50 which can be numerically expressed as,
(18/100)×66.50.
= $11.97.
So, Carter should tip $11.97.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
DO Y'ALL KNOW THE ANSWER?
Answer:
C
Step-by-step explanation:
12000 feet equals about 2 miles.
5280 is about half of 12000 so it is about 1 mile.
Solve for the missing angle measures
Answer:
Set 1 angles a and c are 62
Set 2 angles b and d are 120
Step-by-step explanation:
angle a = angle c = 62
angle b = angle d = 120
A computer company offers a special discount to college students of 15% off. Find the discounted price of a computer that costs $1265.
Answer:
1075.25
Step-by-step explanation:
subtract the 15 percent using freindly percents
Find the ratios x:y:z if x:y=9:10 and y:z=5:3
Answer:
Step-by-step explanation:
Answer:
x : y : z = 9 : 10 : 6
Step-by-step explanation:
Expressing the ratio y : z = 5 : 3 in fractional form, that is
[tex]\frac{y}{z}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
5z = 3y ( divide both sides by 5 )
z = [tex]\frac{3}{5}[/tex] y = [tex]\frac{3}{5}[/tex] × 10 = 3 × 2 = 6
Thus
x : y : z = 9 : 10 : 6
Equations and Inequalities One-Pager
Brainliest! Correct! Fast!
Answer:
c or the third one
Step-by-step explanation:
Answer:
c
Step-by-step explanation: