The balance after 5 years would be near around 5661 dollars.
What is compound interest?
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
First, convert R as a percent to r as a decimal
r = R/100
r = 2.5/100
r = 0.025 rate per year,
Then solve the equation for A
[tex]A = P(1 + r/n)^{nt}\\\\A = 5,000.00(1 + 0.025/2)^{(2)(5)}\\\\A = 5,000.00(1 + 0.0125)^{10}\\\\A = 5,661.35[/tex]
Hence the balance after 5 years would be near around 5661 dollars.
To learn more about compound interest, visit:
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40 points!
You are framing a picture with a frame of equal width on each side.
a. Write a polynomial that represents the area of the picture including the frame
b. Find the area of the picture including the frame when the width of the frame is 2 inches
Answer:
Part A)
The polynomial is:
[tex]A=4(x+8)(x+10)[/tex]
Or, expanded:
[tex]A=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.
Step-by-step explanation:
Part A)
For solely the picture, the width is 16 inches, and the length is 20 inches.
If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.
Likewise, the new length will be (20 + 2x) inches.
The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:
[tex]A=(16+2x)(20+2x)[/tex]
To simplify calculations, we can factor out a two from both factors. Thus:
[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]
Expanded, this will be:
[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two, x = 2. Then the area is:
[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]
The area of the picture including the frame will be 480 square inches.
help with these 2 questions pls
Answer:
6 .
4X + 2 + X = 8X +2 -3X
5X+2=5X+2
0=0
The two sides of the equation are always equal ,so 3 or any other number can be a solution for it .
7.
6X+6-3X+6= X+4
3X+12= X+4
2X= -8
X= -4
Hope it was helpful .
Step-by-step explanation:
I hope that everything I have written helps you.if I'm wrong write the answers in your paper doesn't match with mine please tell me I'll try it again.
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
24f2+11
Answer:
24t^2 + 11
Step-by-step explanation:
There is a lot left out of this question. If you are allowed rational numbers, a common factor could be 24.
24(t^2 + 11/24) is one possibility.
I think what you mean is there an integer that is a common factor. There is not.
So the answer is 24t^2 + 11
There is one more thing that needs to be clarified. Can you give t a value? If you can, then t = 11
the common factor would be
11(24 * 11 + 1)
I doubt very much that this is what is meant, but the question really should make it clear.
Answer:
1(24f²+11) is your answer
Step-by-step explanation:
24f2+11
taking common
1(24f²+11)
What is the value of s?
_______units
Answer:
it's asking for hypothesis your answer is in the picture
HELP I WILL GIVE BRIANLY
If 1/3 of my money is 80, what is 25% of my money?
Answer:
60 = 25% of ur money
Step-by-step explanation:
80×3=100%of ur money (240)
to get 25% we need to divide 240 by 4 bcs 4= 25%
Find the perimeter of the trapezoid. ROUND YOUR ANSWER TO THE
NEAREST TENTH (One number past the decimal.)
Answer:
49.41
Fine the lengths of the top, bottom, and left side first. the do bottom - top and you get 6. To get the length of the right side, do left side squared + 6 squared and you get the length of the right side squared. The answer is top + bottom + left side + square root of right side squared.
Find the slope of the line
Answer:
Slope is undefined.
Step-by-step explanation:
Slope of 0 is a horizontal line.
Slope of undefined is a vertical line.
Any other slope is something in between.
Answer:
(A) undefined
Step-by-step explanation:
Here’s a little trick
If the line is horizontal, the slope is always 0
While if the line is vertical, the slope is always undefined.
In other words, if you can walk on the line, its 0 if you can’t its undefined
Od
33
Question 9 (1 point)
In the middle school PTA there is a total of 47 men and women. The number of women
in the PTA is 2 more than four times the number of men. How many women are in the
PTA?
a
42
38
ОООО
30
d
35
Answer:
38 women
Step-by-step explanation:
Question 9 (1 point)
In the middle school PTA there is a total of 47 men and women. The number of women the PTA is 2 more than four times the number of men. How many women are in the
PTA?
Let the number of men = x
Let the number of women = y
x + y = 47
y = 2 + 4x
We substitute
x + 2 + 4x = 47
Collect like terms
5x = 47 - 2
5x = 45
x = 45/5 = 9
y = 2 + 4x
y = 2 + 4 × 9
y = 2 + 36
y = 38
Therefore, the number of women = y = 38 women
mehh need help withh this
problem
Answer:
the answer is D
Step-by-step explanation:
hope it helps
HELPPPPP PLSSSSSSSSSS PLSSSSSSSS DRFTGYHUYGTFRDCGV PLSSSSSSSSSSSSSSSSSSSSSSSSSSSS PLSSSSSSSSSSSSSSSSSSSSSS FRTGYHUJTRCVBJHGB ASAPP PLSSSSSSSSS NNOWWW FGHUJIKHTFVBNGB.
Answer:
B, C, and D
Step-by-step explanation:
They are both true the ones I said.
This table shows how many male and female students attended two different
movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479
Answer:
the correct answer is
229/479 = 0.48
The probability that a randomly chosen person from this group is male is 0.48.
What is the probability that a male is chosen?Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
The probability of choosing a male = number of males / total number of males and females
229/479 = 0.48
To learn more about frequency tables, please check: https://brainly.com/question/26577861
It’s timed can sb please help me
Answer:
D
Step-by-step explanation:
The intersection of the graphs is at (-3,4).
Answer:
(-3,4)
Step-by-step explanation:
we have to find the point in common of the two lines, that is where they intercept.
when we write a point, we have to sign first the coordinate of the x, and then the coordinate of the y.
So the answer is : (-3,4)
e) What fraction is equal to 50% of
1/6
?
Answer:
1/12
Step-by-step explanation:
Answer:
1/12
Step-by-step explanation:
50/100*1/6
1/12
Decide whether QRST and you UVWX are similar.
Answer:
no
Step-by-step explanation:
Answer:
They are not similar.
Step-by-step explanation:
Let's compare 2 sides of QRST and the 2 corresponding sides in UVWX, and set up a side length ratio.
20/19 = 15/7. If these ratios are equal the shapes are similar, but the ratios obviously aren't.
Sooo....the shapes aren't similar.
This box plot shows the heights (in feet) of a sample of pine trees.
Pine tree heights
A pine tree that is 8 feet tall is added to the sample. How will this outlier
affect the shape of the box plot?
When a pine tree that is 8 feet tall is added to the sample, A. The new box plot will be negatively skewed.
What is negative skewness?Negative skewness occurs when the tail of the left side of the box plot is longer than the tail on the right side.
Negative skewness highlights the risk of left tail events or negative outliers known as “black swan events.”
Thus, when a pine tree that is 8 feet tall is added to the sample, A. The new box plot will be negatively skewed.
Learn more about negative skewness at https://brainly.com/question/20378699
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Answer:
A
hope this helps
Write the equation of each circle. center at (-4, 3), radius 9
Answer:
(x-h)²+(y-k)²=r²
putting respective value
(x--4)²+(y-3)²=9²
(x+4)²+(y-3)²=81
Answer:
(x + 4)^2 + (y - 3)^2 = 9^2
Step-by-step explanation:
Here our center is at (-4, 3), so h = -4 and k = 3. Radius, r, is 9.
Insert these values into the standard equation of a circle centered at (h, k) with radius r:
(x - h)^2 + (y - k)^2 = r^2 becomes:
(x + 4)^2 + (y - 3)^2 = 9^2
calculate the number of atoms, please help in struggling
Given h(x)=4x-4h(x)=4x−4, find h(-3)h(−3).
Answer:1
Step-by-step explanation:
4x-4x+4=4h(x)
4=4h(x)
h(x)=1
h(-3)h(-3)=(1)(1)=1
3a=a+36 find the value of a
Answer:
a=18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
Step 1: Write out your equation
3a=a+36
Step 2: Subtract a on both sides
2a=36
Step 3: Divide by 2 on both sides
a=18
Hope I helped
Please Help Me In This. ASAP! I'll Give brainliest!!!!
- Use the drop-down menus to complete the statements about inertia, Earth, and the moon.
The moon’s _____ tries to push it off into space in a straight line, but Earth’s _____ keeps the moon in orbit.
The moon and Earth are similar in that they both orbit around a body with
_____ mass.
Answer:
1. Inertia
2. Gravity
3. Greater
Step-by-step explanation:
You're welcome :3
Answer:
1. inertia
2. gravity
3. greater
Step-by-step explanation:
They are right I even checked them after
helppppppppppppppppppppp plzzzzzzzzzzz answer
Answer:
Maria randomly selects a number from the list of numbers below.
56, 90, 88, 76, 12
What is the probability that she selects an even number?
Step-by-step explanation:
so fd jwshydd +3 b4--
Answer:
3/2
Step-by-step explanation:
4x+17=23
-17 on both sides
4x=6
divided by 4
x=3/2
(6,3); (1,4)
Slope
Giving brainless answer
Answer:
-1/5. When you do y^2 - y^1/ x^2 - x^1 = It will lead to -1/5
Step-by-step explanation:
Decide whether each fraction is equivalent to a whole number. show or explain your reasoning. You can use the number lines if they are helpful to you.
a. 12/6
b. 12/8
c. 24/2
d. 10/3
e. 5/1
f. 16/4
g. 11/2
Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......
Answer:
486
Step-by-step explanation:
for the 2nd term, add 5 to -9
for the 3rd, add 5 × 2 to -9
for the 4th, add 5 × 3 to -9
:
for the 100th, add 5 × (100 - 1) to -9
=> 5 × 99 + (-9)
=> 486
Subtracting fractions with unlike denominators
Answer:
1/3 is your correct answer
Step-by-step explanation:
Steps for Subtracting Fractions with Unlike Denominators
Identify the least common denominator by finding the least common multiple for the denominators.
Write equivalent fractions (making sure that each equivalent fraction contains the least common denominator (LCM))
Subtract the numerators of the equivalent fractions that you wrote in step 2. (The denominators should now be the same.)
Simplify if necessary.
Please mark me brainliest!
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Reduce the 4/8 to 1/2
Convert the fractions with the least common denominator
by multiplying 3 to 1/2
5/6-3/6
Subtract
2/6
Simplify
1/3
What is the area of this rectangle? A rectangle that is partitioned into two rectangles. The first rectangle has a measurement of five meters along the top, and a measurement of eight meters along the side. The second rectangle has a measurement of five meters along the top, and a measurment of eight meters along the side. 50 square meters 60 square meters 70 square meters 80 square meters
Answer:
80 square meters
Step-by-step explanation:
A rectangle that is partitioned into two rectangles; rectangle A and rectangle B
Rectangle A:
Top = 5 meters
Side = 8 meters
Area of rectangle A = length × width
= 5 meters × 8 meters
= 40 meters ²
Rectangle B:
Top = 5 meters
Side = 8 meters
Area of rectangle B = length × width
= 5 meters × 8 meters
= 40 meters ²
Total area of the partitioned rectangle = area of rectangle A + area of rectangle B
= 40 meters ² + 40 meters ²
= 80 meters ²
Quanto é 100cm em metros?
Answer:
1 metro hace 100 cm
Step-by-step explanation:
100* 10^-2m
Distribute and combine like terms: −4(7r + 7)
Answer:
r=1
Step-by-step explanation:
-4(7r+7)
-28r-28
r=1
To amend a country's constitution, 5 6 of the 52 states in that country must approve the amendment. If 44 states approve an amendment, will the constitution be amended
Answer: Yes. It will be amended
Step-by-step explanation:
Since 5/6 of the 52 states in a country must approve the amendment before the country's constitution is amended, then the number of states that must approve it will be:
= 5/6 × 52
= 43.33
= 43 approximately
Since 44 states approve an amendment, the constitution be amended since it's more than 5/6 of the 52 states.
Solve for x. Round answer to the nearest tenth.
17
54°
х