Answer:
ugh
Step-by-step explanation:
If $10,000 is invested at an annual rate of 11%, compounded quarterly, find the value of the investment after the given number of years.
a) 5 years b) 10 years c) 15 years
Answer:
[tex]a) A\simeq17204.28[/tex]
[tex]b) A\simeq29598.74[/tex]
[tex]c)A\simeq50922.51[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $10000
[tex]r = 11\% = \frac{11\%}{100\%}=0.11[/tex]
n = 4 (quarterly in a year)
a ) t = 5 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(5)}\\\\A=10000(1+\frac{0.11}{4} )^{20}\\\\A=17204.28431\\\\A\simeq17204.28[/tex]
b) t = 10 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(10)}\\\\A=10000(1+\frac{0.11}{4} )^{40}\\\\A=29598.73987\\\\A\simeq29598.74[/tex]
c) t = 15 years
[tex]A=10000(1+\frac{0.11}{4} )^{(4)(15)}\\\\A=10000(1+\frac{0.11}{4} )^{60}\\\\A=50922.51361\\\\A\simeq50922.51[/tex]
Answer:
Solution given;
principal [p]=$10000
rate[r]=11%
time[t]= 5 years
we have
compound amount quarterly =P(1+r/400)^4t
=$10000(1+11/400)^4×5=$17204.28431
Select all the statements that describe the expression 5+2x.
The expression represents the sum of 5 and 2x.
The expression represents the sum of 5 and 2x.
The expression represents 5 plus x plus x.
The expression represents 5 plus x plus x.
The expression represents 5 plus 2 times x.
The expression represents 5 plus 2 times x.
The expression represents 5 plus 2 plus x.
The expression represents 5 plus 2 plus x.
The expression represents the product of 5 and 2x.
The expression represents the product of 5 and 2x.
The expression represents 5 plus x times x.
Answer:
The expression represents the sum of 5 and 2x.The expression represents 5 plus x plus x.The expression represents 5 plus 2 times x.Which alternative is the NEGATIVE reciprocal of 1/3?
А. - 3
B. 1/3
C. 1/3
D3
Answer:
it's -3 buddy
lots of love
keep learning
These triangles are similar and the sides are proportional. Which proportion correctly describes the situation below?
Answer:
Option (3)
Step-by-step explanation:
"If two triangles are similar, their corresponding sides are proportional."
We will check each proportionality ratio given in the options for the given property,
Option (1),
[tex]\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}[/tex]
[tex]\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}[/tex]
[tex]\frac{7}{4}=\frac{4}{7}=\frac{7}{4}[/tex]
But [tex]\frac{7}{4}\neq \frac{4}{7}[/tex].
Therefore, this option is not the answer.
Option (2),
[tex]\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}[/tex]
[tex]\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}[/tex]
[tex]\frac{4}{7}=\frac{7}{4}=\frac{7}{4}[/tex]
But [tex]\frac{4}{7}\neq \frac{7}{4}[/tex],
Therefore, this option is not the option.
Option (3),
[tex]\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}[/tex]
[tex]\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}[/tex]
[tex]\frac{7}{4}=\frac{7}{4}=\frac{7}{4}[/tex]
Therefore, this option is the answer.
Option (4),
[tex]\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}[/tex]
[tex]\frac{4}{7}=\frac{4}{7}=\frac{10}{21}[/tex]
But, [tex]\frac{4}{7}\neq \frac{10}{21}[/tex]
Therefore, this is not the correct option.
Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 of his daily goal, on the second day he met \frac{4}{5} 5 4 of his daily goal, and on the third day he only met \frac{1}{4} 4 1 of his daily goal. During the three-day period, how many ounces of water did he drink altogether? Use paper to show your work.
Answer:
Step-by-step explanation:
Owen's goal is to drink 6060 ounces of water each day for three days. On the first day, he met \frac{2}{3} 3 2 of his daily goal, on the second day he met \frac{4}{5} 5 4 of his daily goal, and on the third day he only met \frac{1}{4} 4 1 of his daily goal. During the three-day period, how many ounces of water did he drink altogether? Use paper to show your work.
Find the indicated conditional probability
using the following two-way table:
Grade
Drive to school
Take the bus
Walk
Sophomore
N
25
3
Junior
13
20
N
Senior
25
5
5
P(Walk to school | Senior ) = [?]
Round in the
Answer: 0.14
Step-by-step explanation
The required conditional probability would be 0.71.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The conditional probability is defined as:
P(A|B) = P(A∩B)/P(B)
From the given two-way table, we get
Drive to school and senior = 25
Senior = 25+5+5
= 35
Total = 2+25+3+13+20+2+25+5+5
= 100
Now,
P( Drive to School and Senior) = 25 / 100
P( Senior) = 35/ 100
Thus,
P( Drive to School | Senior) = 25 / 35 = 0.71
Therefore, the required conditional probability would be 0.71.
Learn more about probability here;
https://brainly.com/question/11234923
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Select all ratios equivalent to 3:5.
A) 24:40
B) 33:55
C) 4:6
Answer:
A and B
Step-by-step explanation:
Answer: B and A
Step-by-step explanation:
B, because if you divide 33:55 by 11 it equals 3/5
A, becuase 14:40 divded by 8 equals 3:5
.....................
Answer:
3 3.14 [tex]\pi[/tex] 3.142 22/7
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
x≥−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x+3/ −3 ≤1
Step 1: Simplify both sides of the inequality.
−2/ 3 x−1≤1
Step 2: Add 1 to both sides.
−2/ 3 x−1+1≤1+1
−2/ 3 x≤2
Step 3: Multiply both sides by 3/(-2).
( 3/ −2 )*( −2/ 3 x)≤( 3/ −2 )*(2)
x≥−3
Answer:
x≥−3
- 7th Grade work -
Pls just say if it's a, b, c, or d.
Answer:
We first need to solve the inequality so,
3 > j/-3 - 7
+7 +7
10 > j/-3
x-3 x-3
-30 > j
D is your answer.
It starts around -30 and the numberline is bold as it goes DOWN. The circle is hallow which also means just greater than.
PLEASE HELP THIS IS OVERDUE!!
Answer:
It is y=2x+4.
Step-by-step explanation:
Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.
The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).
Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).
From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.
With this, we can plug in the parts we need to get the final answer:
y = (2 Slope) x + (4 Y-Intercept)
y=2x+4
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Written in the form [tex]y=mx+c[/tex]
The constant c is where the line intercepts the y-axis.
From the graph we can determine that c is equal to 4.
m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.
From the graph we can pick out 2 points that lie on the line:
Point 1 (0,4)
Point 2 (1,6)
So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]
Now let's rewrite it in the form [tex]y=mx+c[/tex].
[tex]y=2x+4[/tex]
The product of two positive numbers is 84. The larger number is 2 more than twice the smaller number. What is the larger number?
Answer:
44. (Sorry if im incorrect. I don't clearly understand the question)
Step-by-step explanation:
Answer:
14 or -12
Step-by-step explanation:
Start by writing an equation for this.
84 = x * (2x + 2)
This expression works because 84 is the product of the number (x) and twice the number plus 2.
Using the equation, solve for x.
84 = x * (2x + 2)
First, simplify.
84 = 2x^2 + 2x
Subtract 2x^2 + 2x to make the equation equal to 0.
84 - 2x^2 + 2x = 0
Factor:
−2(x − 6)(x + 7) = 0
Set factors equal to 0.
x − 6 = 0 or x + 7 = 0
x = 6 or x = -7
x represents the smaller number. The larger number is 2x + 2.
So double x and add 2.
2(6) = 12 and 12 + 2 = 14 so that's one of the options
2(-7) = -14 and -14 + 2 = -12 so that's the other.
Check:
14 * 6 = 84
-12 * -7 = 84
Samuel wants to buy cookies for his friend. The diameter of a cookie is 20 inches. What is the cookies area? Round to the nearest hundredth
Answer:
314.16
Step-by-step explanation:
Area=πr2
d=2r
Solving for Area
A=1
4πd2=1
4·π·202≈314.15927
Please answer the following question:
Answer:
99 cm²
Step-by-step explanation:
1/2 BH
1/2 18 x 11
9 x 11
99
Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set
Answer:
Extrapolation, because a key that is 12 keys from middle c is outside the data set.
Step-by-step explanation:
Given
See attachment for the data set
Required
Which option answers the question
From the attached dataset, we can see that 12 is not within the range of the data set.
When one makes predictions about a datum or set of data outside the range of the original dataset, then one is extrapolating.
Hence, (d) is correct
Answer:
d
Step-by-step explanation:
trust me
PLSSSSS HELP ME I WILL GIVE BRAINLIEST
Answer:
y-intercept is (0,5)
Step-by-step explanation:
When a graph passes through (0,a), that's y-intercept. y-intercept is a point on y-plane that a graph passes through.
For Ex. If a graph passes through (0,4) then the y-intercept would be (0,4).
But remember that it must be (0,a) for it to be y-intercept (Because it has to intersect the y-plane)
plz help ill give brainlist 5.0 and say thanks !!need help now
Answer:
D.
Step-by-step explanation:
4 x (26 + 72) is 4 time more than the expression of 26 + 72
Solve for x. Round your answer to the nearest tenth.
6.8
x
8.1
X
type your answer...
Step-by-step explanation:
[tex] \sf ➜ {h}^{2} = {p}^{2} + {b}^{2} \\ \sf ➜ {(8.1)}^{2} = {(6.8)}^{2} + {x}^{2} \\ \sf ➜ {x}^{2} = {(8.1)}^{2} - {(6.8)}^{2} \\ \sf ➜ {x} = \sqrt{ {(8.1)}^{2} - {(6.8)}^{2} } \\ \sf ➜ x = \sqrt{65.6 - 46.2} \\ \sf ➜x = 19.4[/tex]
HELP ME OUT GUYS!!! Question is in the screenshot below.
Answer:1658.76 in^2
Step-by-step explanation:
HELP DUE IN 5 MINUTES
Explain how you use a net to find the surface area of a prism.
Answer:
how to use a nurse to do find of surface prism is that you want to Play-Doh lens height and width
Step-by-step explanation:
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected. If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively, what is the distance travelled by the ray?
Answer:10
Step-by-step explanation:24-6-8=10
The distance travelled by the ray will be 26 inches. Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.
If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.
Then the distance travelled by the ray will be
We know the formula
D² = L² + W² + H²
We have
L = 24 in
W = 6 in
H = 8 in
Then the distance will be
D² = 24² + 6² + 8²
D² = 576 + 36 + 64
D² = 676
D = 26 in
Thus, the correct option is B.
More about the coordinate geometry link is given below.
brainly.com/question/1601567
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Find the volume of the cylinder. Round your answer to the nearest tenth.
Answer:
87.9
Step-by-step explanation:
I searched it up
(Sorry, I forgot to post the graph on the last one) The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equation for the curve of best fit, then estimate the depth of water at a temperature of 50 degrees F.
Answer:
B
Step-by-step explanation:
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Question 8 of 10
In a normal distribution, what percentage of the data falls within 3 standard
deviations of the mean?
O A. 34%
O B. 68%
O c. 99.7%
O D. 95%
Using the Empirical Rule, it is found that the percentage within 3 standard deviations of the mean in the Normal distribution is given by:
c. 99.7%.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.Hence, option C is correct.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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HElP PLS I WILL DO ANYTHING BUT HELP
Answer:
1/32
Step-by-step explanation:
There is a 1/8 chance of spinning green on the first spinner and a 1/4 cnace of spinning blue on the second spinner. To find the probability of both spinners landing on the desired color, multiply their probabilities.
1/8 * 1/4 = 1/32 chance of landing on green and then blue.
The table shows morgan’s tips from five customers that he served at the Pizza Palace. What percent of these customers left more than a 15% tip? (i really need help PLEASE)
Answer:
2 people left more than 15%.
[tex]\sqrt{80p^3}[/tex]
Answer:
320√5 it simpleflied
Step-by-step explanation:
The price of an item has been reduced by 20%. The original price was $20. What is the price of the item now?
Answer:
what type of work is this?
Find the amount of time. I=$70, P=$350, r=4%
Answer:
5years
Step-by-step explanation:
I=70
P=350
R=4
I=PRT/100➜PRT=100 I
➜T=100 I/PR
➜100×70/350×4
➜7000/1400
➜5years
The fourth term of an exponential sequence is 108 and the ratio is 3 . Calculate the value of the eighth term of the sequence, calculate the sum of the first five terms of the sequence.
Answer:
8th term = 8748 , Sum of 5 terms = 484
Step-by-step explanation:
Formula for nth term in an exponential sequence = a r^ (n-1)
Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108
So, a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108
a 3^3 = 108 → 27 a = 108 → a = 108 / 27 → a = 4
8th term = a r^ (n-1) , at n = 8. So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748
Sum of n terms = a [(r^n) -1 ] / [r - 1] → Sum 5 terms = 4 [ (3^5)- 1] / [3 - 1]
= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484