Alana has $80 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will she earn in 1 year?
Answer:
Answer:
I = $ 1,937.50
Step-by-step explanation:
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3.875%/100 = 0.03875 per year,
then, solving our equation
I = 10000 × 0.03875 × 5 = 1937.5
I = $ 1,937.50
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 3.875% per year
for 5 years is $ 1,937.50.
I hope this is correct and hope it helps!
PLEASE HELP ASAP ITS DUE SOON!!!!
Answer:
A
Step-by-step explanation:
Look at the y axis and find the highest point.
Answer:
I believe it would be a: y=30; The maximum height...
Step-by-step explanation:
It's where the line would be, and describes exactly where the line of symmetry would be. Hope this helps :)
A rocket is launched from atop a 101 foot cliff with an initial velocity of 116 ft/s.
a) Substitute the values into the vertical motion formula h(t) = -16t2 + vt + h, where v represents the rocket’s initial velocity and h represents the rocket’s initial height.
t?
Answer:
ball-x2-y2-z2-r2--n-dimensions-represent-ball-hypersphere-s-q7037775 ... -feet-rectangular-field-divide-half-fence-middle-pa-q7037837 0.8 2015-06-26 ... -thrown-vertically-upward-initial-velocity-v-original-position-s-height-h-time-t- ...
Step-by-step explanation:
a car company uae the symbol shown below for their logo. if the inside space of the logo is a rhombus,what is the length of FJ?
Answer:
F has a new version of this book that is designed for the same as if you can use it to get a yellow one
11. Saul's baseball bat has a mass of 1 kilogram His baseball has a mass
of 150 grams. What is the mass in grams of both items combined?
C. 1.150 grams
A. 1.15 grams
D. 115,000 grams
B. 115 grams
Determine if the ratios are equivalent: 12:16 and 72:96 *
10 points
Equivalent
Not Equivalent
Answer:
Step-by-step explanation:
12 : 16
Both have 4 in common
3 : 4
72 : 96
Both have 12 in common
6 : 8
Both have 2 in common
3 : 4
So both the ratios are equivalent
Write an equation to represent the following description. Seventeen more than eight times a number is −6.
Help please I’ll give extra points
Answer:
The perimeter of the resulting image is 13 centimeters
Step-by-step explanation:
we know that
Rotation, reflection, and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.
In this problem, we have rotation and reflection
therefore
The perimeter of the resulting figure is the same as the original figure
Mina has 1/2 of a bag of popcorn. She eats half of her popcorn. How much popcorn does Mina have left?
b.1/8 of a bag
c.1 bag
c.1/4 of a bag
d.1/2 of a bag
no links k
Answer:
c.1/4 of a bag
cuz half of 1/2 is 1/4
ou have decided to find a new one-bedroom apartment to live in. You want to find an apartment no further than a 30 miles from EKU. Using Zillow you take a random sample of 61 apartments. The mean rent of the sample is 640 dollars and the standard deviation 55 dollars. You want to use 95% confidence interval for the mean monthly rent for one-bedroom apartments within 30 miles of EKU to get an idea of how much on average people spend. Confirm that the sample size is large enough, calculate a 95% confidence interval and interpret the interval. (Round your answer to 2 decimal places)
Answer:
hfcfkyhgctyirkgt,ckcikkccy
Step-by-step explanation:
Mr. Thorbes bought a new journal for his poetry. If the journal normally cost $22 but was on sale for 20% off, how much did Mr. Thorbes save?
Answer:
He would save $4.40
Step-by-step explanation:
And in total he would pay 17.60
One half of a number , n is at most 24
Answer:
So if N is 24, then the number is 12.
Step-by-step explanation:
24 / 2 = 12
Same-side interior angles always add
up to 180°. If <4 and 46 are same-side
interior angles, what is the measure of «6?
t
44=123°
46 = [?]
o
46
Answer:
Solution given;
<6+ 4=180[co interior angle]
<6=180-123
<6=57° is your answer
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results? What is the estimate of the mean proportion of failures for these instructors?
INSTRUCTOR NUMBER OF FAILURES
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Answer:
D. 16
Step-by-step explanation:
A quality analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:
MACHINE MEASUREMENTS
#1 17 15 15 17
#2 16 25 18 25
#3 23 24 23 22
Kevin wants to hike the Pacific Crest Trail, which is 2,653 miles long. If Kevin wants to
finish the hike in 7 months, how many miles should he hike each month?
miles
Answer:
378
Step-by-step explanation:
2,653 divided by 7
Anna is making 11 necklaces using 35 beads for each. How many beads (B) are needed to make all of the necklaces?
es
Step-by-step explanation:
11×35
11 necklaces and 35 beads per necklace
385
or 385 beads for all 11 necklaces
b=385
Three more than four times the difference of x and 2 is 36
Answer:
3+4 (x - 2) =36 x= 10.25
Step-by-step explanation:
What is 4.9 subtract 0.6
Answer: 4.3
Step-by-step explanation:
4.9-.6=4.3
The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, each cross section perpendicular to the x -axis is a semicircle. What is the volume of the solid?
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:
[tex]\displaystyle A=\frac{1}{2}\pi r^2[/tex]
The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:
[tex]\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx[/tex]
Substitute:
[tex]\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx[/tex]
Simplify:
[tex]\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx[/tex]
Integrate:
[tex]\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right][/tex]
Evaluate:
[tex]\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3[/tex]
The volume of the solid is π/40 cubic units.
Volume of a solid is the measure of the 3 dimensional space it occupies. The volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]
How to find the volume of a three dimensional region bounded by curves?For that, we can try to find infinitesimally small 3-d region's volume, and then integrate that region over the dimensions available to get the total volume of the specified region.
We can also use the fact that continuous curves are almost linear and non-changing in infinitely zoomed region.
The given solid has base bounded by x-axis, [tex]y=x^2[/tex] and 0≤x≤1
Its three dimensional region is along the z axis, for each x, there is a semicircle perpendicular with radius being 'y'.
If we take [tex]dx[/tex]x-axis, then the curve [tex]y=x^2[/tex]cylinder(split from height because of semicircle)) with diameter y, and height [tex]dx[/tex]volume is : [tex]V_{dx} = \dfrac{1}{2} \times \pi (\dfrac{y}{2})^2 \times dx = \dfrac{\pi (x^2)^2}{8}dx = \dfrac{\pi x^4}{8} dx[/tex]
Integrating this for 0≤x≤1, we will get the volume of the three dimensional region needed as:
[tex]V = \int_0^4V_{dx} = \int_0^1 \dfrac{\pi x^4}{8} dx = \dfrac{\pi}{8} [\dfrac{x^5}{5}]^1_0 = \dfrac{\pi 1^4}{40} = \dfrac{\pi}{40}[/tex] (in cubic units).
Thus, the volume of the considered solid is obtained as [tex]\dfrac{\pi}{40} \: \rm unit^3[/tex]
Learn more about volume of three dimensional region here:
https://brainly.com/question/338504
HURRY! What is the circumference of the circle below? Use 3.14 for π.
Answer:
2.14 divided by 5 x 2 is the ansewer
Step-by-step explanation:
PLEASE HELP ASAP!!! WILL MAKE YOU THE BRAINLYIST!!!!
Assume this dance floor is 20 feet long and 30 feet wide. How many people will fit on this dance floor if you assume each person will dance in a space that is 2 feet wide and 2 feet long?
A spinner is shown below. What is the probability of the spinner
not landing on a striped section?
Answer:
[tex] \frac{7}{8} [/tex]
PLEASE HELP!! I WILL GIVE BRAINLIEST IF YOU SHOW YOUR WORK!
Answer:
Step-by-step explanation: You would add 2 to your diameter to every circle which will lead to 17.5 as your radius. Then you would use the formula A=πr2.(r^2 is the same thing as the diamiter). This then will get you a circumfrence of 962.11.
Find the sum of -3x^2-4x+3−3x 2−4x+3 and 2x^2-x+32x 2 −x+3.
Answer:
28x^2-10x+9
Step-by-step explanation:
28x^2-10x+9
A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results SampleService Life (hours) 1495500505500 2525515505515 3470480460470 If he uses upper and lower control limits of 520 and 480 hours, on what sample(s) (if any) does service life appear to be out of control
Answer:
Sample number 3
Step-by-step explanation:
From the given information:
Sample Service life(hours) Total Mean(X)
1 2 3 4
1 495 500 505 500 2000 500
2 525 515 505 515 2060 515
3 470 480 460 470 1880 470
Total = [tex]\text{addition \ of \ numbers \ of \ observations}[/tex]
Mean = [tex]\dfrac{\text{addition \ of \ numbers \ of \ observations}}{4}[/tex]
Thus;
[tex]UCL = \mu+x = 500 + 20 = 520\\ \\ LCL= \mu -x = 500 -20 =480[/tex]
To plot on an X_Bar chart, we have:
Sample Mean (X) UCL LCL
1 500 520 480
5 515 520 480
6 470 520 480
The x-Bar chart is shown in the image attached below. From the image, we realize that the average service life for sample number 3 occurs to be out of the statistical control.
In Exercises 1-4, the sample size n, probability of success p, and probability of
failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35
Answer:
1. No
2. No
3. No
4. Yes
Step-by-step explanation:
Binomial approximation to normal.
The binomial probability distribution has parameters n, p and q.
If
[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.
1. n = 24, p = 0.85, q = 0.15
[tex]np = 24*0.85 = 20.4 > 5[/tex]
[tex]nq = 24*0.15 = 3.6 < 5[/tex]
So no.
2. n = 15, p = 0.70, q = 0.30
[tex]np = 15*0.7 = 10.5 > 5[/tex]
[tex]nq = 15*0.3 = 4.5 < 5[/tex]
So no.
3. n = 18, p = 0.90, q = 0.10
[tex]np = 18*0.9 = 16.2 > 5[/tex]
[tex]nq = 18*0.1 = 1.8 < 5[/tex]
No
4. n = 20, p = 0.65, q = 0.35
[tex]np = 20*0.65 = 13 > 5[/tex]
[tex]nq = 20*0.35 = 7 > 5[/tex]
Yes
The amount of water that fits in a fish tank represents the _______________ of the fish tank.
Answer:
Volume
Step-by-step explanation:
The amount of water that fits in a fish tank represents the Volume of the fish tank.
When you pour water, it occupies the space and the weight of the tank increases. So, it represent the volume
find the median of the list of data. 12, 18, 21, 25, 30, 43
Using the order of operations, what are the steps for solving this expression? 40/8+3^2+(15-7)*2 Arrange the steps in the order in which they are performed.
9514 1404 393
Answer:
simplify parenthesesevaluate the exponential termdivide 40/8multiply 8*2add 5+9add 14+16Step-by-step explanation:
40/8+3^2+(15-7)*2 . . . . given
The order of operations tells you to start by evaluating expressions in parentheses. Here, that is the subtraction of 7 from 15.
40/8 +3^2 +8*2 . . . . (15-7) = 8
Then you evaluate exponential terms.
40/8 +9 +8*2 . . . . . 3^2 = 9
Then perform multiplication and division, left to right. Here, division is first, then multiplication.
5 +9 +8*2 . . . . . divide 40/8 = 5
5 +9 +16 . . . . . . multiply 8*2 = 16
Finally, perform addition and subtraction, left to right.
14 +16 . . . . add 5+9
30 . . . . . . . add 14+16
Answer:
it is 8
Step-by-step explanation:
izllllllllllllllllllll
Answer:
32 :P
Step-by-step explanation:
10x2 is 20, 6x2 is 12, and 12+20=32