The total amount of return will be 5611.8573. The principal amount is compounded annually.
What is compound interest?Compound interest is computed on a loan or deposit based on the starting principle and the preceding period's accrued interest.
The given data;
P(PRINCIPAL)=5300
r(rate)=2.9%
n=1
t(time)=2
The total amount of return is found as;
[tex]\rm A= 5300 (1+\frac{29}{100} )^2 \\\\ A=5611.8573[/tex]
Hence,the total amount of return will be 5611.8573.
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Tory’s expenses of $300 in May were at least $40 less than twice her expenses in April. What is the least possible amount of her expenses in April?
The mean weight of college students is 154 lbs and the standard deviation is 3 lbs.
Assuming that the weight is normally distributed, determine the following percentages.
145 148
151
154 157 160 163
DO NOT write % in the box. It is already written outside the box for you"
The percentage of college students who weigh...
30
1)...less than 157 is
%
2) greater than 148 is
3)...between 145 and 160 is
%
%
Answer:(approx) 6.
Step-by-step explanation:Here μ=51 and σ=15
Z=
σ
X−μ
=
15
X−151
When X=120, Z=
15
120−151
=−2.067
When X=155, Z=
15
155−151
=0.2667
When X=185, Z=
15
185−151
=
15
35
=2.2667
(i) P(120<X<155)=P(−2.07<Z<0.27)
=∫
−2.067
0.2667
ϕ(z)dz=∫
0
0.2667
ϕ(z)dz+∫
0
2.0667
ϕ(z)dz
=0.4803+0.1026=0.5829.
Here N=500
∴ The number of students whose weight is between 120 and 155 pounds is
0.5872×500=291
(ii) P(X<185)=P(Z>2.27)=∫
2.2667
∞
ϕ(z)dz
=∫
0
∞
ϕ(z)dz−∫
0
2.2667
ϕ(z)dz=0.5−0.4881=0.0119
∴ the number of students with weight about 185 pounds.
=0.0119×500= (approx) 6.
If the volume of a cylinder is 847pi yds^3 and the height is 7 yards, what is the radius?
The radius of the given cylinder of volume 847π yds³ and height of 7 yards is 11 yards
Calculating the volume of a cylinderFrom the question, we are to calculate the radius of the cylinder
The volume of a cylinder is given by the formula,
[tex]V = \pi r^{2}h[/tex]
Where V is the volume
r is the radius
and h is the height
From the given information,
V = 847π yds³
h = 7 yds
Putting the parameters into the equation, we get
[tex]847\pi = \pi r^{2} \times 7[/tex]
[tex]7r^{2} = 847[/tex]
[tex]r^{2} = \frac{847}{7}[/tex]
[tex]r^{2} = 121[/tex]
[tex]r =\sqrt{121}[/tex]
r = 11 yards
Hence, the radius of the given cylinder is 11 yards.
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Please help, I'm so confused with this. Attached is a picture
Answer:
Interquartile Range
Step-by-step explanation:
The answer is the interquartile range because there is an outlier.
The data has an extreme value, of 62, so the IQR is most appropriate for this data set. The only other time the IQR is appropriate is when the data is skewed.
It takes3/4 cup of sugar to make a loaf of bread how much sugar would you need to make 16 loaves of bread
Too make this easier for me or others 3/4 can be represented as 0.75. 3/4 or 0.75 x 16 = 12
More depth explanation:
Multiple: 3/
4
* 16 = 3 · 16/
4 · 1
= 48/
4
= 12 · 4/
1 · 4
= 12
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(48, 4) = 4. In the following intermediate step, cancel by a common factor of 4 gives 12/
1
.
In other words - three quarters multiplied by sixteen = twelve.
This is geometry and I need help
Answer:
Step-by-step explanation:
Remark
The sine of an angle involves the Hypotenuse. So the first job is to find that.
When you do Sin(H) = opposite / hypotenuse
Hypotenuse
Givens
a = √3
b = √13
c = ?
c is the hypotenuse.
Equation
c^2 = a^2 + b^2 Substitute values
Solution
c^2 = (√3)^2 + (√13)^2
c^2 = 3 + 13 Combine
c^2 = 16 Take the Square Root of Both Sides
√c^2 = √16
c = 4
Sin(H) = opposite / Hypotenuse
Opposite = √3
Hypotenuse = 4
Sin(H) = √3/4
Sin(H) = 1.7321/4
Sin(H) = 0.4330
Answer
Sin(H) = 0.43
the value of a varies directly as the square of the value of b, and b=3 when a=10. Find the value of a when b=9.
Answer:
answer = 90
Step-by-step explanation:
General equation: a = k*b^2
Specifically: 10 = k*(3)^2 = 9 k
Solving for k: k = 10/9
Then a = (10/9)b^2. If b = 9, then a = (10/9)(9)^2 = 90 (answer)
Find the area: (I will give brainliest) +50 points.
Answer:
[tex]A_{total} = 16\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the top rectangle
We can tell that the total shape seems like two rectangles glued together. We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them. Lets first solve the left rectangle.
[tex]A=l*w[/tex]
[tex]A_{top\ rectangle}=6\ cm * 2\ cm[/tex]
[tex]A_{top\ rectangle}=12\ cm^2[/tex]
Step 2: Determine the area of the bottom rectangle
[tex]A=l*w[/tex]
[tex]A_{bottom\ rectangle}=2\ cm * 2\ cm[/tex]
[tex]A_{bottom\ rectangle}=4\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total}=A_{top\ rectangle}+A_{bottom\ rectangle}[/tex]
[tex]A_{total}=12\ cm^2+4\ cm^2[/tex]
[tex]A_{total} = 16\ cm^2[/tex]
Answer: [tex]A_{total} = 16\ cm^2[/tex]
Break in middle horizontally
For square (Below)
Area =Side²=2²=4cm²For rectangle
Area =LB=6(2)=12cm²Total area
12+416cm²Identify the type of segments as 2 CHORDS, 2 SECANTS, OR SECANT AND TANGENT. Then, find the variable.
Step-by-step explanation:
1)
SOLUTION
5(x+5) = 6. (6 +9)
90 = 5x + 25
13 = x
2)
SOLUTION
x (3) = (4) (6)
3x = 24
x= 8
3)
SOLUTION
3 (3 + x + 2) = (x+1)(x + 1 + x – 1) Use Theorem
3x + 15=2x²+2x
0 = 2x² – x – 15
0 = (x – 3) (2x + 5) Solve for x
3 = x Use positivesolution
Evaluate: [tex]\sqrt{100-36} + 32 - 1[/tex]
Precalculus based question.
Answer:
39
Step-by-step explanation:
[tex]\sqrt{100-36}+32-1\\\sqrt{64}+31\\8+31\\39[/tex]
Hey there!
√(100 – 36) + 32 – 1
= √(64) + 32 - 1
= 8 + 32 – 1
= 40 – 1
= 39
Therefore, the answer should be: 39
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Reduce the fraction, then change to a mixed number. 20/3
[tex] \frac{20}{3} [/tex]
To find:[tex] \frac {20}{3} [/tex] as a mixed number.
Solution:First, divide the numerator by the denominator.
[tex]20 \div 3 [/tex]
[tex] = 6 \: R2[/tex]
Then, write the whole number value and use the remainder as the numerator over the denominator. As we all know the denominator won't change.
[tex]\large\boxed{\sf{= 6 \frac{2}{3}}}[/tex]
The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets
The most likely formats used in an observation checklist includes the video recording and audio recording.
What is an observation checklist?This refers to the list of things that an observer is going to look at when observing a class or sample elements.
Most time, the checklists techniques are put in a sequenced way to observe and evaluates the samples from one point to another.
Therefore, the Option A is correct.
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A coordinate plane. Point A is plotted at (2, 7). Point B (2, 1). Point C (9, 8). Point D (8, 3). Point E (7, 7). A point has been translated right and up. The image of the point is point E. What point is the pre-image of point E? A B C D
Answer:
It's B
Step-by-step explanation:
Source: Trust me bro
Plus I just got done doing it
can anyone help me identify the center and radius on these 3 pls , brainly
Answer:
See below
Step-by-step explanation:
Circle equation standard form
(x-h)^2 + ( y-k)^2 = r^2 h, k is the center
All are centered at 0,0
radii are sqrt(225) = 15 sqrt 49 = 7 and sqrt 178
Susan got to the school bus stop at 6:08, she waited 1 minute for the bus. What time was it when Susan’s bus came?
Answer:
6:09
Step-by-step explanation:
6:09 is one minute after 6:08
Pablo built a large wooden storage box. The box was in the shape of a rectangular prism, as shown below. He covered all the sides of the box with special wallpaper that cost a total of . How much did the wallpaper cost per square foot?
The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot
Cost of wallpaper per square footlength = 9 ftWidth = 8 ftHeight = 5 ftSurface area of a box = 2(lh + wh + lw)
= 2(9×5 + 8×5 + 9×8)
= 2(45 + 40 + 72)
= 2(157)
= 314 square foot
Total cost of wallpaper = $942Cost of wallpaper per square foot = $942 ÷ 314 square foot
= $3 per square foot
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can you help this is hard
Answer:
y=1/2x+1= A
y=-2x-4= C
x-2= E
y=-3= F
y=1/2x+3.5=B
I hope this helps
Step-by-step explanation:
Which of the following are solutions to the inequality below? Select all that apply.
8 ≤ j j = 12 j = 5 j = 6 j =11
Answer:
j = 11
j = 12
Step-by-step explanation:
The inequality:
8 ≤ j
We will test all the options given.
-> In short, all options greater or equal to 8 will be solutions.
j = 12
8 ≤ j
8 ≤ 12 ✓
-
j = 5
8 ≤ j
8 ≤ 5 ✗
-
j = 6
8 ≤ j
8 ≤ 6 ✗
-
j =11
8 ≤ j
8 ≤ 11 ✓
Hellppppppppppllpppp
Answer:
180 in^2
Step-by-step explanation:
S=(1/2)lP + B
B = 10x10 = 100
P = 10(4) = 40
l is 4, but you could also use the fact that each triangular side is A=(1/2)bh.
(1/2)4 x 10 = 20
20(4) = 80
add 100 + 80 = 180
What am I supposed to do here? I will give BRAINLEST and say thank you.
Answer: It finally let me answer this. Give me brainliset if another person answers. You have to make a bar graph and then put the same info on it.
Kate has a box of red nibbon and bhie ribbons The ratio of red ribbons to total ribbons is 5 14 Choose all the statements that are true about Katie's box of ribbons
(A The ratio of total ribbons to blue ribbons is
14:9
(B. The ratio of red ribbons to blue ribbons is 9:5
(C. The ratio of total ribbons to red ribbons is 14:5
(D. There must be 9 more blue ribbons than red ribbons
(E. The ratio of blue ribbons to red ribbons is 9,5
the volume of a cone is 2307.9 mm^3. The height is 5 mm. What is the radius?
Answer:
21 mm
Step-by-step explanation:
Given,
Volume of cone ( V ) = 2307.9 mm³
Height ( h ) = 5 mm
To find : Radius ( r )
Formula : -
Volume of cone = πh/3 r²
Note : -
The value of π is 3.14
Volume of cone = πh/3 r²
2307.9 mm³ = 3.14 x 5/3 x r²
2307.9 = 5.23 x r²
Divide 5.23 on both sides,
r² = 2307.9 / 5.23
r² = 441
r² = 21 x 21
r² = 21²
r = 21 mm
You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads.
For this case we have the following notation:
y= the number of minutes that you read
x = the number of minutes that your brother read
And we have that you decide to read 30 minutes longer than your brother, so the equation would be:
y = x+30
And for the other part of the question if x =15 we got:
y = 15+30 = 45
Step-by-step explanation:Assuming this complete question: "You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads. Write an equation for the number of minutes you read, y, when your brother reads x number of minutes.
How many minutes will you read if your brother reads for 15 minutes?"
Solution to the problemFor this case we have the following notation:
y= the number of minutes that you read
x = the number of minutes that your brother read
And we have that you decide to read 30 minutes longer than your brother, so the equation would be:
y = x+30
And for the other part of the question if x =15 we got:
y = 15+30 = 45
Use proportional thinking to answer the question. Explain how you got an answer without using pencil and paper or a calculator.
If 10% of a number is 4.3, what is
20% of the number?
Answer:
8.6
Step-by-step explanation:
If we know 10% of a number is 4.3, we can easily find 20% of the number as well.
We know 20% is 2 times 10%.
Therefore,
2 x 4.38.6Show that if AB=DC in the figure below, then AB is parallel to CD.
AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.
What are the properties of a parallelogram?Note, the figure is a parallelogram
Some properties of a parallelogram are:
The opposite sides of a parallelogram are parallel and equal.The opposite angles are equal.The consecutive angles are supplementary, that is, the sum up to 180°The two diagonals divide each other.if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.
Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.
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the cost of 3 dolls if 2 such dolls cost rs.120 is ...... ans pls
Answer:
Rs. 180
Step-by-step explanation:
This is a proportion problem.
We are told that 2 dolls cost Rs. 120
Thus;
Cost of 1 doll = 120/2 = Rs. 60 per doll
Then;
Cost of 3 dolls = Rs. 60 * 3 = Rs. 180
You start driving north for 6 miles, turn right, and drive east for another 19 miles. At
the end of driving, what is your straight line distance from your starting point?
Round to the nearest tenth of a mile.
Answer:
mi
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M
4
G
Answer:
20 miles
Step-by-step explanation:
This is a Pythagorean Theorem Problem
1. We know that one side of the triangle is 6 miles. And we know that another side is 19 miles.
2. We use the pythagorean Theorem to solve. We get
[tex]19^2+6^2=C^2[/tex]
Where C is the distance.
Solving that we get that 20 miles is the answer.
A weighted (unfair) die that was purchased at a magic shop was rolled 30 times. The die landed on five dots 25 times. Based on the results, what is the margin of error for the true proportion of times this die would land on five dots? Base your margin of error on a 95% confidence level.
Using the z-distribution, it is found that the margin of error for the true proportion of times this die would land on five dots is of 0.1338.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The estimate and the sample size are given as follows:
[tex]\pi = \frac{25}{30} = 0.8333, n = 30[/tex].
Hence the margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.8333(0.1667)}{30}}[/tex]
M = 0.1338.
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Factor the expression completely
9z+15
Answer:
3(3z + 5)
Step-by-step explanation:
You have to factor out 3 from 9z+15 :)
Please mark brainliest
Grace has a 1/3 cup scoop that she uses to pour sauce on pasta. She uses one full cup for each serving of pasta. Grace has 7 cups of sauce. How many servings of pasta can she make?
Answer:
7
Step-by-step explanation:
its a trick question !!
Answer:
This seems like a tricky question... i keep second guessing myself but here goes nothing....
7 servings
please read the explanation.... it always helps....
Step-by-step explanation:
Okay... so we know from the problem that each serving takes one full cup of sauce, and we also know that Grace has seven cups of sauce.... therefore we can conclude that she can make seven servings since 7/1 is 7.
Im not really sure why the question tells us that she uses a 1/3 scoop when we don't really need that when solving the question (which is why i am second guessing myself, but oh well)
i really hope this helps!!!