Sofia's account balance in 7 years will be $11,726.12
Compound InterestFrom the question, we are to determine Sofia's account balance in 7 years
Using the compound interest formula,
[tex]A = P(1+ \frac{r}{n} )^{nt}[/tex]
Where A is the amount
P is the principal
r is the rate
n is the number of times compounded
and t is the time in years
From the given information,
P = $8,000
r = 5.5% = 0.055
n = 4
t = 7
Putting the parameters into the equation, we get
[tex]A = 8000(1+ \frac{0.055}{4} )^{4\times 7}[/tex]
[tex]A = 8000 ( 1+ 0.01375)^{28}[/tex]
[tex]A = 8000 ( 1.01375)^{28}[/tex]
A = $11,726.12
Hence, Sofia's account balance in 7 years will be $11,726.12
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In ΔKLM, k = 890 inches, ∠M=143° and ∠K=34°. Find the length of m, to the nearest 10th of an inch.
Answer: 957.8
Step-by-step explanation:
Which expression is equivalent to 5(x + 7)?
can anyone help me with this?0
Answer:
C) (y - 1)(y - 5)
Step-by-step explanation:
Hi there!
First you separate your expression into groups.
[tex](y^2-5y)(-1y+5)[/tex]
Now we take the common multiple out of each.
[tex]y(y - 5)-1(y - 5)[/tex]
Since we have two (y - 5)s, we can pull it out of the equation as its own common multiple.
After we do that, we are left with y - 1. (we got this from taking the common multiples out)
Now we are just left with (y - 5)(y - 1)
Hope this helped!
What’s the equation in point slope form of the line that passes through the point (-1,1) and has a slope of 4 ?
9514 1404 393
Answer:
y -1 = 4(x +1)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m=4 and (h, k) =(-1, 1), the equation is ...
y -1 = 4(x +1)
When a number is subtracted from 25, the difference is 8 less than twice
that number. What is the number?
Answer:
11
Step-by-step explanation:
first, we would set up an equation. since they say that a number is subtracted from 25, let x represent that number and say 25-x. on the other side of the equation, since it says the difference would be 8 less than twice that number, we would say 2x-8 because twice x would be 2x and we'd subtract 8 from that.
the equation would look like this:
25-x=2x-8
next, we would solve. first get the x to one side of the equation:
25=3x-8
then, get the 3x by itself:
33=3x
finally, solve for x by dividing both sides of the equation by 3:
11=x
x=11.
The number is 11.
Need help urgently extra points and mark brainlist
Answer:
-5 or 5 i think
Step-by-step explanation:
Answer:
D. btw plzzzzz give me brainliest
You have $50 and a $15 gift card to spend online. You purchase a pair of headphones for $34.99 and 8 songs for x dollars each. Use an algebraic expression to find the amount you have left when each song costs $1.10.
Answer:
50 + 15 -34.99 - 8x
65 - 34.99 - 8(1.10)
30.01 - 8.8
$21.21
Step-by-step explanation:
The amount you have left when each song costs $1.10 is $21.21.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
Given:
You have $50 and a $15 gift card to spend online.
Cost of each sing = $1.10
You purchase a pair of headphones for $34.99 and 8 songs for x dollars each,
Calculate the total amount as shown below,
Total cost = cost of headphones + cost of each song × number of songs
Total cost = 34.99 + 1.10 × 8
Total cost = 34.99 + 8.8
Total cost = $43.79
Calculate the remaining cost as shown below,
Remaining cost = $50 + $15 - total cost
Remaining cost = $65 - $43.79
Remaining cost = $21.21
Therefore, the amount you have left when each song costs $1.10 is $21.21.
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Elijah is planning a circular flower garden with a 12-foot diameter. He will put plastic edging along the flowerbed. How many feet of edging will Elijah need to enclose his flower garden? Round to the nearest tenth place. (Use 3.14 for π)
Answer:
37.7 ft
Step-by-step explanation:
c=πd (circumference= 3.14*diameter)
c=3.14*12
c=37.68 ft
rounded to tenths place-37.7 ft
5*10^9 divided by 5*10^4
Answer:
100000
Step-by-step explanation:
5 * 10^9 = 5000000000
5 * 10^4 = 50000
5000000000 / 50000 = 100000
Hope this helps!
2) y = 3.x – 5; Find y if x = 8
Answer:
y=19
Step-by-step explanation:
y=3(8)-5
y=19
Answer:
Y=19
Step-by-step explanation:
So step one, fill in x and multiply
y=24-5
subtract
y=19
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1000 grams and mass was decreasing by 14% per day. Determine the mass of the radioactive sample at the beginning of the 10th day of the experiment. Round to the nearest tenth (if necessary).
Answer:
120.91 grams
Step-by-step explanation:
multiply the initial amount by the percent that will remain to the power of n-1, n being the term number, or how many days that have passed.
f(x)=1000(0.85)^14-1
Write an equivalent expression to show the relationship of multiplication and addition 6 + 6 + 6
Answer:
6^3
Step-by-step explanation:
Use the graph of the scatter plot to answer the question.
Based on the graph, what would be the slope for the line of best fit of the scatter plot?
A. 0
B. 1/2
C. 1
D. 1 1/2
E. 2
Answer:i think 0
Step-by-step explanation:
Answer:
its 0 I got it right on my question yesterday
please help me ill mark brainliest
Answer:
A) 50
Step-by-step explanation:
X = 5
15 * 5 + 75 = 150
150 / 3 = 50
y = 50
It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must get from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
A: How long does it take him to cover the 1rst hallway? The second one? The third one?
B: Does Damian make it to class on time? By how much is he late or early?
Answer:
He will not make it to class. He will be 3 seconds late!
Step-by-step explanation:
Please help
Sorry I need 20 characters to submit this question that’s why I’m adding more words please help
Answer:
C
Step-by-step explanation:
i think its c because 4 times -7 is negative 28, which means that the other answers are wrong. please give me brainliest!!<3
Help plz? I don’t know what to write
Answer:
1. C
2. B
3. A
4. D
Step-by-step explanation:
At Pizza Pi, 52% of the pizzas made last week had extra cheese. If 13 pizzas had extra cheese, how many pizzas in all were made last week?
There were _______ pizzas made last week.
Answer:
Im trying to find it too :(
Step-by-step explanation:
A rectangle has a width measuring 6 units and a length measuring x + 4 units. Write and solve an inequality to find the value of x so that the area of the rectangle is more than 36 square units. Justify your answer.
Answer:
its easy the anser is x=40
Step-by-step explanation:
you just add the numbers
Pls help urgently extra points and mark brainlist easy reading
Answer:
the act of pointing out faults
Step-by-step explanation:
Answer: The answer is A the act of pointing out faults because it talks about how Anna was Criticism of how the or the author on skate
Step-by-step explanation:
Can u show steps to solve
I need help with this problem !
Answer:
15, inches, 7, inches
Step-by-step explanation:
44=2(8+l)+2l
44=16+4l
28=4l
7=l
l=7
w=8+7
w=15
1)
Which figures appear to be congruent?
[A] 2 and 3
[B] 1 and 4
।
[C] 2 and 5
[D] 1, 2, and 4
A
B
Answer:
answer c
Step-by-step explanation: since i helped can i have brainlist please :D
Help Please I need help
Answer:
Here's your answer
Step-by-step explanation:
The answer would be a square and a rectangle.
You might need:
Calculator, Z table
Yuki and Zana are on a swimming team. They often compete against each other in the 100 meter freestyle
race. Yuki's times in this race are normally distributed with a mean of 80 seconds and a standard deviation
of 4.2 seconds. Zana's times are also normally distributed with a mean of 85 seconds and a standard
deviation of 5.6 seconds. We can assume that their times are independent.
Suppose we choose a random 100 meter freestyle race and calculate the difference between their times.
Find the probability that Yuki's time is faster than Zana's.
You may round your answer to two decimal places.
P (Yuki faster)
Answer:
0.2389 = 23.89% probability that Yuki's time is faster than Zana's.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Find the probability that Yuki's time is faster than Zana's.
That is, the subtraction of Yuki's time by Zana's time has to be higher than 0.
When we subtract normal distributions, the mean is the subtraction of the means. So
[tex]\mu = 80 - 85 = -5[/tex]
The standard deviation is the square root of the sum of the variances. So
[tex]\sigma = \sqrt{4.2^2+5.6^2} = 7[/tex]
We have to find 1 subtracted by the pvlaue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-5)}{7}[/tex]
[tex]Z = 0.71[/tex]
[tex]Z = 0.71[/tex] has a pvalue of 0.7611
1 - 0.7611 = 0.2389
0.2389 = 23.89% probability that Yuki's time is faster than Zana's.
In this exercise we have to use knowledge about probability to calculate the probability of faster time, so we have to:
probability that Yuki's time is faster than Zana's.
When the distribution is normal, we use the z-score formula. In a set with mean and standard deviation , the zscore of a measure X is given by:
[tex]Z=\frac{X-\mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Find the probability that Yuki's time is faster than Zana's. That is, the subtraction of Yuki's time by Zana's time has to be higher than 0. When we subtract normal distributions, the mean is the subtraction of the means. So:
[tex]\mu= 80-85=-5[/tex]
The standard deviation is the square root of the sum of the variances. So:
[tex]\sigma= \sqrt{(4.2)^2+(5.6)^2} = 7[/tex]
We have to find 1 subtracted by the p-value of Z when X = 0. So:
[tex]Z= \frac{X-\mu}{\sigma}\\Z= \frac{0-(-5)}{7}\\Z= 0.71[/tex]
Has a p-value of 0.7611:
[tex]1 - 0.7611 = 0.2389[/tex]
See more about probability at brainly.com/question/795909
Help me please I dont know this
Answer:
QS and PR. They are going in a strait line following the same path but they will never touch. :)
Answer: PQ and QR
Step-by-step explanation:
Well if you flip PQ over to it's side you will see that they are lining up
Type an equation for the following pattern. Enter the fraction in simplest form
Answer:
y=½x+0
Step-by-step explanation:
∆y/∆x
=1-½/2-1=½
the first part of the rule is ½x
Plug in x=3
½×3=3/2
when x=5
½×5=4/2
Therefore the rule is y=½x+0
Which expression represents the absolute value of - 10
Answer:
|-10|=10
Step-by-step explanation:
Absolute value is 10
helppppp please what is it
Answer: 125 yards?
Step-by-step explanation:
Answer:
125 yards
Step-by-step explanation:
triangles are similar so let's see the ratio
112/140= 4/5
100÷ 4/5 =125 yards
During lunch on Friday, 45 students in the 7th
grade chose pizza. This represented 25% of the
seventh-grade class. How many students are in the
entire 7th grade class?
Answer:
135
Step-by-step explanation: