Answer:
one solution
Step-by-step explanation:
7(x-4)=4x+5
solve for x
7x-28=4x+5
3x=33
x=11
Look at the factors of 24 and 32.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
The GCF of 24 and 32 is
.
Leah has just inherited $12,000. She wants to invest the money so that she can increase the value of
her inheritance. What are some of the ways she can do this?
1. Leah wants to invest the $12,000 in an account that pays 4.5% annual interest.
a. Write equations for the amount A(t) that will be in the account after t years, if the interest is
compounded continuously, daily, and monthly. Then, find the amount after 10 years, rounded
to the nearest cent, for each method of compounding. Complete the table
When interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
If the interest compounded continuously:
P = $12000, r = 4.5% = 0.045%
[tex]\rm A(t) =12000(e)^{0.045t}[/tex]
When t = 10 years, plug this value in the above expression and calculating, we get;
A(10) = $18819.75
When interest compounded daily:
[tex]\rm A(t) = 12000(1+\dfrac{0.045}{365})^{365t}[/tex]
Plug t = 10 years:
We get;
A(10) = $18819.22
Similarly,
If interest is compounded monthly:
n = 12 and t =10, we get:
A(10) = $18803.91
Thus, when interset compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.
Learn more about the compound interest here:
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please help i dont get it and its for a grade! :(
Answer:
y=-4x+5
Step-by-step explanation:
On a trip to Mexico, Sheika bought a piece of jewelry that cost 43.65. She paid for it with her credit card, which charges a foreign transaction fee of 3%. How much was the foreign transaction fee? Round to the nearest hundredth
44.96
1
1.31
13.10
Answer:
The extra fee was 1.31
It brought her total up to 44.96
Hi there!
fee:1.31
1.Multiply percent term by 0.01:
[tex]3[/tex]·[tex]0.01=0.03[/tex]
2.Multiply cost by 0.03:
[tex]43.65[/tex]·[tex]0.03= 1.3095[/tex]
3.Round into nearest hundred:
[tex]1.3095=1.31[/tex]
Therefore, the cost of the fee would be 1.31$.
Gabriella was offered a job after college earning a salary of $50,000. She will get a
raise of $4,000 after each year working for the company. Answer the questions below
regarding the relationship between salary and the number of years working at the
company.
Answer:
y=4,000x+50,000
Step-by-step explanation:
Where y = total salary
x = number of years worked
The relationship between salary and the number of years working at the company is 50000 + 4000x
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Gabriella was offered a job after college earning a salary of $50,000.
She will get a raise of $4,000 after each year working for the company.
let the number of years worked be x.
Then, relationship between salary and the number of years working at the company is 50000 + 4000x
Learn more about algebra here:
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Please help ASAP!
thx :)
If Jen run for 15 minutes and goes 120meters, how fast did she run?
Answer:
8 meters per minute
Step-by-step explanation:
120/50=8
Hope this helps! :)
Answer:
8 meters/second
Step-by-step explanation:
Divide the distance(120 meters) by the time(15 minutes) to find the answer. the formula for any speed problem is d/t.
Hope this helps!
need help with this please! best answer will get brainliest!!
Answer:
Is there supposed to have a picture? cause if there is, i can't see it...
Step-by-step explanation:
Which system below has no solution?
y=-4 * and y= 2 x-3
y= 4 * and y= 2 x - 3
y=-4* and y= 2 x + 3
y=-4-* and y= 2 x-3
Answer:
y=-4-* and y= 2 x-3
Step-by-step explanation:
Answer:
y = 4^ and y = 2 x - 3
Help pls!! Which of the following most specifically describes quadrilateral QUAD?
Answer:
I mean I think they are all quadrilateral, but the one that is congruent and perpendicular on both sides is a square.
Step-by-step explanation:
Hi guys can you answer my math question
Answer:
4
Step-by-step explanation:
It is. I just know it lol
Answer:
Figure 3
Step-by-step explanation:
A pack of batteries that contains nine batteries costs $20. Determine the cost per
battery.
Answer:
$2.22
Step-by-step explanation:
Please help me! ASAP! WILL GIVE BRAINLIEST!!!
Use the Distributive Property to evaluate the expression.
(16 - 6)2
Answer:
20
Step-by-step explanation:
a can contains 24 fluid onces of fruit juice . how many pints of fruit juice does the can contain
A. 3 pt
B. 1 1/2 pt
C. 12 pt
D. 1/3 pt
Answer:
B 1 1/2 pts
4 fluid ounces = 0.25 pints
24 fluid ounces = 6 pt
e/3=15 (please help)
K/8= 20
Answer:
Download the app "Photo Math" it will help you to solve all of your math problems.
-3(3x-8) apply distributive property
Answer:
-9x+24
Step-by-step explanation:
Multiply using the distributive property. Hope this helps :)
Given the figure as marked. What is x?
Answer:
6
Step-by-step explanation:
Using the similarity theorem f the triangle
(4+6)/x+9 = 4/x
10/x+9 = 4/x
Cross multiply
10x =4(x+9)
10x = 4x+36
10x-4x = 36
6x = 36
x = 6
Hence the value of x is 6
What is the result when we simplify the expression ( 1 + 1/ x ) ( 1 − 2/ x + 1 ) ( 1 + 2/ x − 1 )
Answer:
[tex] \frac{4(x + 1)(x - 1)}{ {x}^{3} } [/tex]
Step-by-step explanation:
I have a app called photomath, I really hope this works.
Bob and Sue are meeting on a stairway. Bob is at the top and Sue is at the bottom. There are 9 steps
from bottom to top. Bob can skip a step each time since he is going down, Sue will not skip any steps. On
which step will they meet.
Answer:
Bob is at the top, so he starts at step 9.
Sue is at the bottom, so she is at the step 0 (this is the floor, before stepping on step 1)
Sue climbs from one step on one step.
Then she if she climbs n times, she will be at the step number:
S(n) = 0 + 1*n
And Bob goes down by 2 steps each time, then after he goes down n times, his position will be:
B(n) = 9 - 2*n
We want to see when they meet, then we need to solve:
S(n) = B(n)
1*n = 9 - 2*n
1*n + 2*n = 9
3*n = 9
n = 9/3 = 3
n = 3.
This means that they meet a the step:
S(3) = 3*1 = 3
B(3) = 9 - 2*3 = 9 - 6 = 3
They meet at the third steep.
A photo album costs $10.49 before discount and tax.
There is a 30% off discount. After the discount, a 6%
sales tax is added.
What is the total after discount and tax?
Answer:
Total after tax and discount is $7.78
Step-by-step explanation:
(10.49×0.3)= 3.15
10.49 - 3.15 = 7.34
(7.34×0.06)= 0.44
7.34 + 0.44 = 7.78
An angle measures 148° more than the measure of its supplementary angle. What is the measure of each angle? AND DONT PLAGERISE!!!
Answer:
Step-by-step explanation:
Supplementary angles add up to 180°.
“θ is 148° more than its supplement”
Supplement of θ = 180°-θ
θ = (180°-θ) + 148°
2θ = 328°
θ = 164°
Supplement of θ = 180°-164° = 16°
a) Simplify e® * e^
b) Simplify (4ab)
c) Simplify
36n'p
9np
Answer:
a)e^9
b)64a^3b^6
c)4n^3p^4
I hope It helps you have a good day.
8i +6 – 3i +8 simplify each expression
Answer:
5i + 14
Step-by-step explanation:
combine like terms
8i - 3i = 5i
6 + 8 = 14
rewrite expression
5i + 14
Hope This Helps!!
:)
7/8 and 42/48 are they porpotional?
Answer:
Yes
Step-by-step explanation:
42/48
42/6 = 7 and 48/6 = 8
Simplifies to 7/8, therefore they are equal
What is the area of this rectangle?
Answer:
15 cm squared
area =l x w
so 3 x 5= 15
Step-by-step explanation:
Answer:
15cm
Step-by-step explanation:
The inequality below shows the relationship between Mario’s biking goal in miles and how many miles he
rides in an hour. Let t represent the amount of time in hours.
8 ≥ 20
Answer:
4
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Solve for x
8x+1>−31
[tex]8x + 1 > - 31 \\ 8x > - 1 - 31 \\ 8x > - 32 \\ x > \frac{ - 32}{8} \\ x > - 4[/tex]
Which is greater -6/24 or -2/8
Answer:
They are equal...
Step-by-step explanation:
-2/8 is simplified from -6/24 as the 6 and the 24 can be simplified. 6 goes into 24 three times.