The amount that will be there in Henry's account after a period of 6 years will be $1,925.765.
What is compound interest?Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,
[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]
The amount that Henry put in the account is $1700, while the compound interest on that account is 2.1% annually. Also, the time for which the amount is kept in the account is 72 months which is equal to 6 years.
Now, the total amount in Henry's account after a period of 6 years will be,
[tex]\rm Account\ Balance = \$1700(1+0.021)^6[/tex]
[tex]= \$1700(1.021)^6\\\\= \$1,925.765[/tex]
Hence, the amount that will be there in Henry's account after a period of 6 years will be $1,925.765.
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What is the value of x?
might be the last question for today in math
Answer:
There is no Quadrant V only
Quadrant I
Quadrant II
Quadrant III
Quadrant VI
Answer:
That would be quadrant V
Step-by-step explanation:
Because Quad means 4 and in roman V
Hence, the answer is Quadrant V
Give Brainliest :)
Alge Chapter 5 For 1-4, solve and graph on a number line. 1)-3x + 2 > 17 2) 4(x - 2) + 3 < -25 3) 15 < 2x + 3 < 21 4) 12 < -3(x - 2) = 27
Answer:
i think that the answer is b
Step-by-step explanation:
lmk if im wrong
Tim took a total of 14 quizzes over the course of 7 weeks. How many weeks of school will Tim have to attend this quarter before he will have taken a total of 16 quizzes?
Answer:
8
Step-by-step explanation:
divide 14 by 7 to get 2. IT is 2 tests a week so multipy 7 by 2 to get 14 then just add 2 to get 16. you added two meaning you added a week because each week is two tests so the answer will be 8 weeks.
Tim have to attend a total of 8 weeks this quarter before he will have taken a total of 16 quizzes.
What is unitary mehtod?The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.
How to calculate how many weeks of school will Tim have to attend?According to the problem,
Tim took 14 quizzes over the course of 7 weeks.
∴ Tim can take 1 quiz over the course of [tex]\frac{7}{14}[/tex] weeks
Tim can take 16 quizzes over the course of [tex](\frac{7}{14})[/tex] x 16 weeks = 8 weeks
∴ Tim can take 16 quizzes over the course of 8 weeks.
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A group of students was surveyed to determine which of three types of foods they liked. Use the
diagram to answer the question.
Answer:
10
Step-by-step explanation:
Its outside the graph
What are HK and GH?
A. HK = 5 GH = V29
B. HK=4 GH=2\5
C. HK = 2V5 GH=2v6
D. HK = V5 GH=3
The triangles are similar triangles, and the values of HK and GH are (b) 4 and 2√5, respectively
How to determine the length HK?The triangles are similar triangles, and they are represented by the following similarity ratio:
GK : HK = HK : JK
From the question, we have:
GK = 2 and JK = 8
So, we have:
2 : HK = HK : 8
Express as fractions
[tex]\frac{2}{HK} = \frac{HK}{8}[/tex]
Cross multiply
HK² = 16
Take the positive square root of both sides
HK = 4
The length GH is calculated using the following Pythagoras theorem
GH² = GK² + HK²
This gives
GH² = 2² + 4²
Evaluate the squares
GH² = 20
Solve for GH
GH = 2√5
Hence, the values of HK and GH are (b) 4 and 2√5, respectively
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anyone knows the answer?!
Answer:
Your answer is B) Function 1 has the smaller minimum value of -14.
Step-by-step explanation:
Method 1: Looking at the Function 1 and 2 points.
Method 2:
I have graphed functions 1 and 2 onto desmos to help determine which one has the smaller minimum.
When a red and a white flower reproduce, the chance of their offspring being a red flower is 25%. if five pairs of red and white flowers have offspring
what is the chance that exactly 2 of the flowers are red?
what is the chance that no more than 2 red flowers exist in the offspring?
Answer:
P(2 red in 5 offspring) = 26.4%
P(no more than 2 red flowers) = 65.9%
Step-by-step explanation:
P(red) = 25%
P(white) = 75%
P(2 red in 5 offspring) = 5C2 P(red)*P(red)*P(white)*P(white)*P(white)
= 10 * 0.25 * 0.25 * 0.75 * 0.75 * 0.75 = 26.4%
P(no more than 2 red flowers) = P(1 red in 5 offspring) + P(2 red in 5 offspring)
= 5C1 P(red)*P(white)^4 + 0.2637
= 5 * 0.25 * 0.75* 0.75 * 0.75 * 0.75 + 0.2637
= 0.6592 = 65.9%
What is the product of 2(cos(45°) + i sin(45°)) and 5(cos(30°) + i sin(30°))?
Step-by-step explanation:
short step
(-isin(π/6)+2×5cos(π/6) ei π/4)
I/2+5√3 4√-1
The product of the trigonometric expressions will be 10 (cos 75° + i sin 75°).
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The trigonometric expressions are given below.
2 [cos(45°) + i sin(45°)] and 5 [cos(30°) + i sin(30°)]
Then the product of the trigonometric expressions is given as,
⇒ 2 [cos(45°) + i sin(45°)] × 5 [cos(30°) + i sin(30°)]
⇒ 10 [(cos 45° × cos 30° + sin 45° × sin 30° × i²) + i (sin 45° × cos 30° + cos 45° × sin 30°)]
⇒ 10 [cos (45° + 30°) + i sin (45° + 30°)]
⇒ 10 (cos 75° + i sin 75°)
The product of the trigonometric expressions will be 10 (cos 75° + i sin 75°).
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The exponential function f(x) has a horizontal asymptote at y=3. What is the end behavior of f(x)?
*photo of graph included*
Answer:
The answer is A
Step-by-step explanation:
Hope this helps
what is the slope of the line (-5,7) and (7,2)
Answer:
0.416
Step-by-step explanation:
each of the letters in the word calculator are on separate cards, face down on the table. if you pick a card at random, what is the probability that its letter will be c or l
Answer:
3/10 chance.
Step-by-step explanation:
Since Theoretical Probability is number of favorable outcomes over number of total outcomes, You can see it here that there are two l's and one c. This means that you will have 3 chances to get the letter you want. There are also 10 different letters. This means that you have a 3/10 chance of getting an l or c.
Find The Volume Show Your Work Please
Answer:
Step-by-step explanation:
Please correct if it's not right what I did and also what's for b)?
Answer:
The gradient is 20
Step-by-step explanation:
Gradient = Change in Charge / change in hours worked.
Gradient = 200 - 80/ 6 - 0
= 120/ 6
= 20
b. The gradient of the line represents the amount the plumber charges per hour
Giving brainliest!!!!
Answer:
x = 21 degrees or A
Step-by-step explanation:
7x - 3 + 2x - 6 = 180
9x - 9 = 180
9x = 189
x = 21
there are 20 computers in the school library and 80 sixth-grade students. what is the ratio in lowest terms of computers to sixth-grade students?
Answer:
The ratio is 1:4 or 1 computer for every 4 sixth graders.
Step-by-step explanation:
20 for 80 = 20:80
20:80 divided by 10:10 = 2:8
2:8 divided by 2:2 = 1:4
Find the radius. Will mark branliest.
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Define your points x1, y1 and x2, y2
(x1,y1) = (-4,-2)
(x2,y2) = (-5,1)
Use the distance formula, the distance between the center and that point is the radius of the circle.
[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2}}\\\sqrt{(-5--4)^{2} +(1--2)^{2}}\\\\\sqrt{(-1)^{2} +(3)^{2}}\\\\\sqrt{1 +9}\\\\\sqrt{10}\\[/tex]
The critical value used in a 95% confidence interval for population proportion is
Answer:
A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be 9 ±3. We may conclude that A. there is a 95% probability that μ is between 6 and 12.
Step-by-step explanation:
hope it helps
in hypothesis testing if the null hypothesis is rejected, _____.
Answer: d. the correct decision has been made
Step-by-step explanation:
All the following are equal except: 1, 3/3, -3/-3, 2/4
(will mark brainliest)
Answer:
2/4
Step-by-step explanation:
2/4 does not equel a whole number instead it only reaches 1/2
I will give you 100 points
Answer:
m∠C = 110.9° (1 dp)
Step-by-step explanation:
The largest angle in a triangle is opposite the longest side.
Therefore, from inspection of the diagram, angle C is the largest angle since length AB is the longest side length.
To find angle C, use the cosine rule:
[tex]\sf c^2=a^2+b^2-2ab \cos C[/tex]
(where a, b and c are the sides, and C is the angle opposite side c)
Given:
a = BC = 11cmb = AC = 7 cmc = AB = 15 cmSubstituting the given values into the formula and solving for C:
[tex]\implies \sf c^2=a^2+b^2-2ab \cos C[/tex]
[tex]\implies \sf 15^2=11^2+7^2-2(11)(7) \cos C[/tex]
[tex]\implies \sf 225=170-154 \cos C[/tex]
[tex]\implies \sf \cos C=\dfrac{225-170}{-154}[/tex]
[tex]\implies \sf \cos C=-\dfrac{5}{14}[/tex]
[tex]\implies \sf C=\cos ^{-1}\left(-\dfrac{5}{14}\right)[/tex]
[tex]\implies \sf C=110.9248324...^{\circ}[/tex]
Therefore, m∠C = 110.9° (1 dp)
Answer:
see photo for detailed analysis
Maureen made a two-layer cake for her brother's graduation party. Both layers are 1 1/2 inches tall and shaped like rectangular prisms. The bottom layer is 24 inches long and 16 inches wide, while the top layer is 20 inches long and 12 inches wide. What is the total volume of the cake? Write your answer as a whole number, proper fraction, or mixed number.
Which of the following is equivalent to the complex number i^5
Choose 1 answer:
1
i
-1
-i
Answer:
i
Step-by-step explanation:
i = [tex]\sqrt{-1}[/tex] ⇒ i² = ([tex]\sqrt{-1}[/tex] )² = - 1 , then
[tex]i^{5}[/tex]
= i² × i² × i
= - 1 × - 1 ×i
= 1 × i
= i
Use the table to predict the number of times you will spin 3 when you spin the spinner 100 times. Spinning a Spinner Number spun Times spun You can predict that you will spin 3 times
Step-by-step explanation:
I am not sure i understand the text you put there.
what I think is clear is to find the expected number of the appearances of the number 3 when spinning the spinner 100 times.
to do this we start by checking the given information.
and we see that the given table based on the result of in total 50 spins (7+8+9+7+11+8).
when spinning the spinner additional times, we can expect the same structure of distribution of the individual possible results as before. we just scale everything to the new size of the overall sample.
before, with 50 spins, we saw the number 3 9 times.
so, with 100 spins, which is 2×50, we expect to see the number 3 then 2×9 = 18 times.
Find the equation of a line perpendicular to y=−2/3x+1
A. y=−2/3x+5
B. y=3/2x
C. y=2/3x+1
D. y=−3/2x+4
The correct equation must have a slope of 3/2. The required equation is y=3/2x
Equation of perpendicular line
The standard equation of a line is y = mx + b
where;
m is the slope
b is the y-intercept
Given the following equation
y=−2/3x+1
The slope of the line is -2/3
For two lines to be perpendicular, the product of their slope must be zero.
mm1 = 01
-2/3m = -1
m = 3/2
This shows that the correct equation must have a slope of 3/2. The required equation is y=3/2x
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A. 611.18 b. 431.59 c. 395.59 d. 1,042.37. ASAP PLEASEE
Answer: B. 431.59
Step-by-step explanation:
1.6*12 =19
90*2 = 180
circle area = pier^2
127.25 for upper and 88.35 for lower
triangle is just the square / 2
i rounded so my answer is not exact but b should be correct
Grapes are on sale for $0.97 per pound and Bart wants to purchase 4 pounds of grapes. How much will he spend?
Answer:
$3.88
Step-by-step explanation:
Combination...
Selecting a dance troupe with 6 girls and 7 boys out of 20 girls and 15 boy who auditioned
The total combination will be, 45195 if the selecting dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.
What is permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Selecting a dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.
It is a combination problem:
Selecting 6 girls out of 20 = C (20, 6)
Selecting 7 boys out of 15 = C (15, 7)
Total combination = C (20, 6) + C (15, 7)
= 38760 + 6435
= 45195
Thus, the total combination will be, 45195 if the selecting dance troupe with 6 girls and 7 boys out of 20 girls and 15 boys who auditioned.
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The ratio of inmates to guards at the
asylum is 6:1. If there are 108 guards at
the prison how many inmates are there?
Answer:
648
Step-by-step explanation:
108X1=108 so 108X6=648
Find the volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis
The volume of the solid generated by revolving the region bounded by the given curve and lines y = 2x, y = 2, x = 0 about the x-axis will be
V = 8π/3
What is volume integration?When the integration is done in the three dimensions in the three coordinates x,y and z then we will call it as a volume integration.
I set y=2x = y=2 to find where the intersect each others so I can have my boundaries for integration.
You goal is to find the area so you can integrate around that area. We're revolving around the x-axis so the area will be a circle.
V = ∫A(x)dx = ∫(πr²)dr
Since we have two different radius, we subtract them from each others.
∫(πr₂² - πr₁²)dr
∫(π(2)² - π(2x)²)dr
∫(4π - 4πx²)dr
4π∫(1 - x²)dr
integrate from 0 to 1 since that's where our boundary is.
V = 4π∫(1 - x²)dr = 8π/3
Hence the volume of the solid generated by revolving the region bounded by the given curve and lines y = 2x, y = 2, x = 0 about the x-axis will be V = 8π/3
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