Answer:
4594.76 USD will be in the account on Burt's 18th birthday.
Step-by-step explanation:
Since interest rate is constant in time, we can use the definition of composite interest to determine how much money will be on Burt's 18th birthday, that is:
[tex]C = C_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)
Where:
[tex]C_{o}[/tex] - Initial amount, measured in US dollars.
[tex]C[/tex] - Current amount, measured in US dollars.
[tex]r[/tex] - Annual interest rate, measured in percentage.
[tex]t[/tex] - Time, measured in years.
If we know that [tex]C_{o} = 1250\,USD[/tex], [tex]r = 7.5[/tex] and [tex]t = 18[/tex], then the money in the savings account on Burt's 18th birthday is:
[tex]C = (1250\,USD)\cdot \left(1+\frac{7.5}{100} \right)^{18}[/tex]
[tex]C = 4594.76\,USD[/tex]
4594.76 USD will be in the account on Burt's 18th birthday.
I need help
(practice quiz)
Answer
slight
Step-by-step explanation:
But Never zero
Ms. Blankenship had $20 to purchase school supplies for her class. She bought 12 glue sticks and 12 boxes of crayons. Each glue stick cost $1.15, and each box of crayons cost $0.42. How much money did Ms. Blankenship have left after these purchases?
Answer: She had $1.16 left
Step-by-step explanation:
Step-by-step explanation:
1.16 dollars left
Classity each sequence as arithmetic, geometric, or neither by dragging it into the correct box
Answer:
✔️The arithmetic sequence: 16, 11, 6, 1, -4. . .
✔️The Geometric Sequence: ⁵/9, ⁵/3, 5, 15, 45 . . .
✔️Neither is: ½, 1, 2, 3, 4 . . .
Step-by-step explanation:
In an arithmetic sequence, a constant number called common difference is added or subtracted from each term to get the next successive term in the sequence.
On the other hand, in a geometric sequence, a constant number called common ratio is used to multiply or divide each term to get the next successive term in the sequence.
✔️The arithmetic sequence is:
16, 11, 6, 1, -4. . .
This is because it has a common difference of -5. Thus, 5 is subtracted from each term to get the next successive term.
✔️The Geometric Sequence is:
⁵/9, ⁵/3, 5, 15, 45 . . .
The common ratio is 3. Each term is multiplied by 3 to get the next successive term in the sequence.
✔️Neither is:
½, 1, 2, 3, 4 . . .
This sequence lacks either a common difference or a common ratio.
James invested $4,000 at 5% interest per year; how long will it take him to earn $200 in simple interest?
Answer:
It takes 1 year.
Step-by-step explanation:
You have to apply simple interest formula, I = (P×R×T)/100 where I represent interest amount, P is principle, R is interest rate and T is number of years :
[tex]I = \frac{PRT}{100} [/tex]
[tex]200 = \frac{4000 \times 5 \times T}{100} [/tex]
[tex]20000 = 20000T[/tex]
[tex]T = 1[/tex]
We, know that :
[tex] \underline{\boxed{\sf Interest \: amount = \dfrac{Principal \times Rate \times Time}{100}}}[/tex]
[tex] \underline{\boxed{\sf I = \dfrac{P \times R \times T}{100}}}[/tex]
By putting values, we have
[tex] \sf : \implies 200 = \dfrac{4000 \times 5 \times T}{100}[/tex]
[tex] \sf : \implies 200 \times 100 = 20000 \times T[/tex]
[tex] \sf : \implies 20000 = 20000 \times T[/tex]
[tex] \sf : \implies \cancel{\dfrac{20000}{20000}} = T[/tex]
[tex] \sf : \implies 1 = T[/tex]
[tex] \underline{\boxed{\sf T = 1 \: year}}[/tex]
It takes 1 year for him to earn $ 200 in simple interest.
is 3(5b - 2) and 8b - 5 equivalent
Answer:
No
Step-by-step explanation:
Answer:
I don't think so.
Step-by-step explanation:
3(5b - 2) would be equivalent to 15b - 6
e) x(m - n) + 2(m - n).
Answer:
xm-xn+2m-2n
Step-by-step explanation:
Round your answer to the nearest hundredth.
?
А
C
3
70°
B
Aaron contributes $3,000 annually toward an IRA. A projected annual return is 7.2%. What is the future value in 5 years?
$15,000.00
$17,321.20
$41,666.67
$108,000.00
Answer:
FV= $17,321.20
Step-by-step explanation:
Giving the following information:
Annual deposit (A)= $3,000
Number of periods (n)= 5 years
Interest rate (i)= 7.2% = 0.072
To calculate the future value (FV), we need to use the following formula:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
FV= {3,000*[(1.072^5) - 1]} / 0.072
FV= $17,321.20
Alina and Asim share Rs 210 in the ratio 2:5. How much money did each of them get?
Answer:
Step-by-step explanation:
Alina=2x---eq(1)
Asim=5x----eq---(2)
So,we get
2x+5x=210
7x=210
x=30
Now,Putting '30' in eq 1 and eq 2
2*30=60
5*30=150
Therefore Alina got 60 Rs while Asim got 150 Rs
It's timed plzzz help!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Area = 1/2 a * p
Multiply both sides by 2
2*A = ap
Divide by p
2A / p = a
D
Answer: D
Step-by-step explanation:
A number x divided by 4
12 bars of soap for $10.00 or 5 bars of soap for $4.00.
Answer:
12 bars for $10.00
Step-by-step explanation:
identify the domain and range of the function input 1,3,5,7 output 8,7,6,5
Answer:
Domain = 1,3,5,7
Range = 8,7,6,5
Step-by-step explanation:
We need to identify the domain and range of the function: input 1,3,5,7 output 8,7,6,5
Domain of function:
For any function domain is set of input values.
Range of function:
For any function range is set of output values.
So, for the given function we have : input 1,3,5,7 output 8,7,6,5
Domain = 1,3,5,7 (set of input values is domain of function)
Range = 8,7,6,5 (set of output values is range of function)
help on this please
Answer: 382
You put the 3 in the hundred then add 70+12=82 So this is right
Just add 70+12 then add 300
Please help me I will give 12 points
Answer:
5/8
Step-by-step explanation:
=3/8×5/3
=5/8
Hope this helps u....
Answer:
3/8 divided by 3/5
3/8 multiplied by 5/3
5/8 is the answer of this question
Sue has 85 flowers she puts them in seven vases with the same number of flowers in each vase except one how many flowers are in the vase with the greatest number of flowers
Answer:
I think it would be 13
Step-by-step explanation:
Anyone good with slopes?
Answer:
4
Step-by-step explanation:
What is the slope rate of change of the following table? X 2 4 6 8 10 y 9 12 15 18 21 02 000
Answer:
X⋅2=2X
4=2X
6=2X
8=2X
10y⋅9=90y
12=90y
15=90y
18=90y
21=90y
2=90y
0=90y
Braulio and Alejandro are siblings. Three years from now, Braulio will be 3 times Alejandro's present age. At that time, Alejandro will then be half as old as Braulio. How old are Braulio and Alejandro? Show all work and circle your final answers
Answer: Braulio is 15 years old, and Alejandro is 6 years old.
Step-by-step explanation:
Let's define:
B = Age of Braulio
A = Age of Alejandro.
"Three years from now, Braulio will be 3 times Alejandro's present age"
We can write this as:
B + 3 = 3*A
"At that time, Alejandro will then be half as old as Braulio"
A + 3 = (B + 3)/2
Then we have a system of equations:
B + 3 = 3*A
A + 3 = (B + 3)/2
To solve this, we first need to isolate one of the variables in one of the equations.
Let's isolate A in the second equation:
A = (B + 3)/2 - 3
Now we can replace this in the other equation to get:
B + 3 = 3*A
B + 3 = 3*((B + 3)/2 - 3)
B + 3 = (3/2)*B + 9/2 - 9
Now let´s move all the terms with B to the left side, and the other terms to the right side.
B - (3/2)*B = 9/2 - 9 - 3
-(1/2)*B = 9/2 - 18/2 - 6/2 = -15/2
B = (-2)*(-15/2) = 15
Braulio is 15 years old.
And from the first equation:
B + 3 = 3*A
15 + 3 = 3*A
18 = 3*A
18/3 = A = 6
Alejandro is 6 years old.
Guys plz help plz on both plzzzzz
Answer:
The first one is 9/50 and the second one is 1/2
Step-by-step explanation:
you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)
Someone please explain, it's most of my homework! I already did half the problem! Ellie bought 5 cups of apple juice and 7 sandwiches for $25.00. Jim bought 2 cups of apple juice and 3 sandwiches for $10.50. How much did each cup of apple juice cost? How much did each sandwich cost. I set up the equations 5a+7s=25 and 2a+3s=10.5. How do I solve them?
Answer:
St rt ok is et cell pic ch se art on FB
Suzette is opening an office cleaning business. Her competitor charges $35 per hour plus a $42 cleaning supply fee. Which inequality could be used to represent the situation where Suzette’s charges, S, would be no more than her competitor’s charges?
Answer:
[tex]S\le 35h+42[/tex]
Step-by-step explanation:
Given that:
Cleaning supply fee charged by the competitor = $42
The charges by competitor per hour = $35
Let the number of hours = [tex]h[/tex] hours
Charges for [tex]h[/tex] number of hours = Number of hours multiplied by Charges per hour = $35[tex]h[/tex]
Now, total charges by the competitor = Charges for [tex]h[/tex] number of hours + Charges by the competitor = $35[tex]h[/tex] + 42
Charges of Suzette's = [tex]S[/tex]
As per question statement, the Suzette's charges can not be more than the competitor charges. Therefore Suzette's charges must be lesser than or equal to the competitor charges.
So, the inequality can be written as:
[tex]S\le 35h+42[/tex]
Where [tex]h[/tex] represents the number of hours.
what is x+5x+2-4x=+2
Answer:
the solution is this:
x= -2
Find the values of X and Y.
Given:
A figure.
To find:
The value of x and y.
Solution:
In triangle ADC, all angles are equal, so it is an equilateral triangle.
We know that, all sides of an equilateral triangle are equal.
[tex]AD=AC[/tex] ...(i)
[tex]3x-5=5y-4[/tex] ...(ii)
In triangle ABD,
[tex]\angle BAD=\angle ABD[/tex]
Base angles are equal, so triangle ABD is an isosceles triangle.
[tex]AD=BD[/tex] ...(iii)
Using (i) and (iii), we get
[tex]AC=BD[/tex]
[tex]5y-4=y+12[/tex]
[tex]5y-y=4+12[/tex]
[tex]4y=16[/tex]
Divide both sides by 4.
[tex]y=4[/tex]
Putting y=4 in (ii), we get
[tex]3x-5=5(4)-4[/tex]
[tex]3x-5=20-4[/tex]
[tex]3x-5=16[/tex]
Adding 5 on both sides, we get
[tex]3x=16+5[/tex]
[tex]3x=21[/tex]
Divide both sides by 3.
[tex]x=7/tex]
Therefore, the value of x is 7 and the value of y is 4.
Alexander was hopelessly lost. This new campus was 10 times bigger than his last school had been. He had no idea how to get back to his classroom. All the doors to all of the classrooms looked the same. Here he was staring down this endless corridor, hoping that someone would come along, so he could inquire where he needed to go.
Use the context clues to find the definition for the word inquire as it is used in this paragraph.
to shout
to ask
to help
to wonder
Answer:
to ask
Step-by-step explanation:
20 POINTS
510√
a2√2
b5√
c10√2
d2√
Answer:
22.5
Step-by-step explanation:
Brainliest plzzz
Larry is 8 years older than his sister. Two times Larry's age is five more
than three times his sister's age. How old is Larry now?
Answer:
larry is 19
Step-by-step explanation:
ok, so larry's age is y, his sisters age is x
x + 8 = y
thats the equation for him being 8 years older
now 2y = 3x + 5
his sisters age is 3x + 5 to get larry's age when its doubled
substitute x + 8 in for y
2 (x+8) = 3x + 5
2x + 16 = 3x + 5
16 = x + 5
x = 11
11 + 8 = y
y = 19
pls help meeh everything is on the image
Answer:
Your slope is -1 and you y is 2 and the equation is -1y+ 0x
Step-by-step explanation:
Luiza starts collecting rare coins. In the first month of her collection, she has 25 coins. Each month since then, she has added 2 coins to her collection. How many coins will she have after 2 years?
Answer: 71 coins
Step-by-step explanation:
First and foremost, we should note that:
12 months = 1 year
2 years = 12 × 2 = 24 months
Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:
= 25 + 2x
where, x = number of months
= 25 + 2(23)
= 25 + 46
= 71 coins
She will have 71 coins after 2 years.
Complete the statements about the key features of the graph of f(x) = x5 – 9x3.
As x goes to negative infinity, f(x) goes to ________ infinity, and as x goes to positive infinity, f(x) goes to _______ infinity.
Answer:
Negative and positive
Step-by-step explanation:
Complete the statements about the key features of the graph of f(x) = x5 – 9x3.
As x goes to negative infinity, f(x) goes to "NEGATIVE" infinity, and as x goes to positive infinity, f(x) goes to "POSITIVE" infinity.
The complete statement is:
As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity
The function is given as:
[tex]f(x) = x^5 - 9x^3[/tex]
Set x to 2
So, we have:
[tex]f(2) = 2^5 - 9(2)^3[/tex]
[tex]f(2) = -40[/tex]
Set x to 5
[tex]f(5) = 5^5 - 9(5)^3[/tex]
[tex]f(5) = 2000[/tex]
Notice that, as the value of x increases from 2 to 5, the function increases from -40 to 2000
Hence, the texts that complete the blanks are (a) negative and (b) positive, respectively
Read more about function behaviors at:
https://brainly.com/question/24114085