Answer:
Viktor will have $5,800 in his account after 5 years
Step-by-step explanation:
Compound Interest
It happens when interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Viktor deposits P=$4,300 in an account that earns r=6% interest compounded monthly. Since there are 12 months in a year, n=12. The interest rate is converted to decimal: r=6/100=0.06. The final amount in the account after t=5 years is:
[tex]\displaystyle A=\$4,300\left(1+{\frac {0.06}{12}}\right)^{12*5}[/tex]
[tex]\displaystyle A=\$4,300\left(1.005}\right)^{60}[/tex]
Calculating:
A = $5,800
Viktor will have $5,800 in his account after 5 years
b) 7+2x/3 =5
helppppp
Answer:
4
Step-by-step explanation:
7+2x/3=5
7+2x. = 15
2x. =8
x. = 4
i hope it is helpful
Answer:
[tex] \frac{3x + 4}{2} = 9.5 \\ 3x + 4 = 19 \\ 3x = 15 \\ \boxed{x = 5}[/tex]
[tex] \frac{7 + 2x}{3} = 15 \\ 2x + 7 = 45 \\ 2x = 38 \\ \boxed{x = 19}[/tex]
A watercolor painting is 24 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?
Given: It is given that the length of the painting is 24 inches and the width is 11 inches.
To find: Area of the mat
Solution:
The watercolor painting is 24 inches long by 11 inches wide.
So, the area of the painting is:
[tex]\text{Area of painting}=l\times b[/tex]
[tex]\text{Area of painting}=24\times 11[/tex]
[tex]\text{Area of painting}=264 \text{ in}^2[/tex]
The length of painting with mat is = 24 in + 3 in + 3 in = 30 in
The width of painting with mat = 11 in + 3 in + 3 in = 17 in
[tex]\text{Area of painting with mat}=30\times 17[/tex]
[tex]\text{Area of painting with mat}=510 \text{ in}^2[/tex]
Now to calculate the area of mat subtracts the area of painting from the area of the mat.
[tex]\text{Area of mat}=\text{Area of painting with mat}-\text{Area of painting}\\[/tex]
[tex]\text{Area of mat}=510-264[/tex]
[tex]\text{Area of mat}=246 \text{ in}^2[/tex]
Hence, the area of the mat is 246 in².
48 cities three have a lake and 23 have a river running through them what fraction of these 48 cities have a lake or a river running through the show your work
10 – 7w – 13 – 7w + 15
I need help plsss!
Answer:
12-14w
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
2x power of 2 +7x+3
Step-by-step explanation:
Multiply the parenthesis together.
2x squared +6x +x +3
2x squared +7x+3
Answer:
2x^2 + 2x + 3
Step-by-step explanation:
(4/9) ÷ (7/12) = ???
Answer:37/36
Step-by-step explanation:
Source: Trust me
Answer:
16/21
or in decimal form 0.761904
Step-by-step explanation:
could i have that brainlyest
Karim uses a total of 20 cups of batter to make x cupcakes and a cake. He uses cup of batter for each cupcake and 4 cups of batter for the cake. How many cupcakes, x, can Karim make if he uses all the batter?
Answer:
16 cupcakesStep-by-step explanation:
Total cups of batter = 20
He uses 4 cups for cake and the rest for cupcakes
Number of cupcakes is:
x = 20 - 4 = 166(n-3)-2n=10
solve n
Answer:
n=7
Step-by-step explanation:
6(n-3)-2n=10
Distributive Property
6n-18-2n=10
Combine like terms
4n-18=10
Addition property of equality with -18; add -18 to both sides
4n=28
Division property of equality; divide 4 from both sides
n=7
Find x.
Side splitter theorem
Answer:
x = 9
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is
[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )
12(x - 3) = 8x
12x - 36 = 8x ( subtract 8x from both sides )
4x - 36 = 0 ( add 36 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
PLEASE I NEED HELP!!!!!!!!!
Answer: Its 5 1/12 hope this helped!!!
Answer
Answer = 278/63 as in the pic
Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22. Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46 Part B: Explain in words, what Clay should do to get his accaunt balance to zero?
Answer:
Part A
y =($50 - ($23 × 2 + $5)+ $22)
y = $21
Part B
Clay can get his balance to zero by withdrawing or writing another check for $21
Step-by-step explanation:
Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22.
Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46
Let his final Account Balance = y
y =($50 - ($23 × 2 + $5)+ $22)
y =$72 - $51
y = $21
Part B: Explain in words, what Clay should do to get his account balance to zero?
Clay can get his balance to zero by withdrawing or writing another check for $21
= $21 - $21
= $0
6x + ? = 0
? =
Does anyone know the answer to this
Last Thursday was costume day at Terrence's school. 50% of the 272 students wore a costume. How many students wore a costume?
Answer:
136
Step-by-step explanation:
272÷2=126
Lesson 4-1 Solving Systems of Equations by Graphing
Answer:
Where's the question?
Step-by-step explanation:
Answer:
we cant answer it theres no backup to the question
Step-by-step explanation:
Mr. Snow keeps a list of vocabulary terms that he wants his students to memorize from the textbook.
He began the year with 15 terms on the list. Of the 35 new terms in each chapter, Mr. Snow puts the definition of 10 terms on the wall and adds the remaining terms to the vocabulary list to be memorized.
question:
the number of terms on the vocabulary list can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these value represent in term of the situation.
Answer:
Step-by-step explanation:
35(6)x12=224
Brisbane is 10 hours ahead of London and New York is 5 hours behind London. Arsh lives in Brisbane. At 12 noon on 5 November, Arsh calls Lily who lives in New York, what time and date is it in New York?
Answer:
9:00 pm, 4th November
Step-by-step explanation:
Since ;
Brisbane is 10 hours ahead of London
New York is 5 hours behind London
Then, Brisbane is (10 + 5)hours ahead of New York.
Then Brisbane is 15 hours ahead of New York
Time and Date Brisbane resident called New York = 12 Noon, 5th November
Time and Date in New York will be :
(12 Noon - 15 hours) = 9:00 pm, 4th November
could you help me with this
Answer: 40
Step-by-step explanation:
All you have to do is divide it. However, the actual answer is 40.5, but I'm sure that they round it.
Answer:
There would be 40
Step-by-step explanation:
The problem it takes one week for a crew of workers to have 3/ 5 km of a road at that rate is how long will it take to pave 1 km
please help and please explain
Answer:
D
Step-by-step explanation:
Quadrant II is the top right corner. Both of the values are positive there so the only correct answer is D.
Hope this helps!
construction worker’s planned to secure a tall pole using two cables attached to the pole at a point 12 m above the ground as shown in the diagram below.
based on the information in the diagram which value represents the total length of the cable that is needed to secure the pole?
Answer:(24+12\3)m
Step-by-step explanation:
What’s the solution for x- 5 =5
Answer:
x=10
Step-by-step explanation:
10-5=5
Answer:
x= 10
Step-by-step explanation:
x-5 =5
x= 5+5
x= 10
zz
Hey guys this is confusing, someone plz help
Answer: x = 13
Step-by-step explanation:
To find the value of x, you have to find ∠QRP
∠QRP + ∠QRS = 180
∠QRP + 95 = 180
Subtract 95 from both sides
∠QRP = 85
∠RQP + ∠QPR + ∠QRP = 180 Definition of triangle
(4x + 3) + (3x + 1) + 85 = 180
Subtract 85 from both sides
(4x + 3) + (3x + 1) = 95
7x + 4 = 95
Subtract 4 from both sides
7x = 91
Divide 7 from both sides
x = 13
Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?
Answer:
65 miles per hour
Step-by-step explanation:
520 divided by 8
Answer:
His average speed is 65 miles per hour.
Step-by-step explanation:
The answer is 65 because 520 divided by 8 is 65.
P.S Can I have brainliest?
Can i have some help please
Answer:
bababooey
Step-by-step explanation:
Which statement about 2 + 3x is true?
O A. There are four terms in 2 + 3x.
O B. 2 + 3x is a product.
O C. 2 + 3x is a quotient.
D. 3 is the coefficient of x.
Given: FH ⊥ GH; KJ ⊥ GJ
Prove: ΔFHG ~ ΔKJG
Triangles F H G and K J G connect at point G. Angles F H G and K J G are right angles.
Identify the steps that complete the proof.
Answer:
✔ all right angles are congruent
♦ =
✔ angle FGH is congruent to angle KGJ
♠ =
✔ AA similarity theorem
Step-by-step explanation:
i just got it right
Answer: 2,3,3
Step-by-step explanation:
How many pounds does 6.5 dozen cupcakes weigh?
• 1 cupcake = 35.3 grams
Answer:
35.3g * 78 =2,753.4g
2,753.4g = 6.07lbs
Find the solution to the system of equations.
A. (1, 4)
B. (4, 1)
C. (0, 3)
D. (4, –1)
Answer:
it should be A but im not fully sure
Answer:
B (4,1). ( look at the point of intersection x-axis is at 4 and y is at 1) so it is (4,1)
What is an
equation of the line that passes through the points (-8,4) and (-8, 8)?
Answer:
X= -8
Step-by-step explanation:
What does k represent in the equation y = kx?
Answer:
The constant of variation.