Answer:
I = $4204.8
Step-by-step explanation:
Given that,
Principal, P = $43,800
Interest rate = 4.8%
Rate = 2 years
We need to find the interest that is paid back. We know that, simple interest is given by :
[tex]I=\dfrac{PRT}{100}[/tex]
Put all the values,
[tex]I=\dfrac{43800\times 4.8\times 2}{100}\\\\=\$4204.8[/tex]
So, the required interest is equal to $4204.8 .
Plzzzz guys help :( Which of the following is the mid point of the line segment with endpoints -3 and 2 (a)5/2 (b) 1 (c) -1/2 (d) -1 (e)-5/2
Answer:
C -1/2
Step-by-step explanation:
midpoint = sum of end points divide by 2.
here, midpoint = (-3+2)/2
=(-1/2)
Answer:
- 1 / 2
Step-by-step explanation:
→ Add the 2 numbers together
-3 + 2 = -1
→ Divide answer by 2
- 1 ÷ 2 = - 1 / 2 or - 0.5
A bakery sells mocha cupcakes and vanilla cupcakes. It sold 200 cupcakes in a day, and 44% of them were vanilla. How many of the cupcakes sold that day were mocha?
200 - 44% = 122
200 - 122 = 78
The amount of how many cupcakes that were sold that day that were mocha was 78.
Answer:46
Step-by-step explanation:
part/whole=percent/100 x=part
x/200=23/100
100•x=200•23
100x/100=4600/100
x=46
7 over 6 divided by 4
Answer:
0.29
Step-by-step explanation:
I used a calculator
Aiden calculated that their family used 20% of their monthly income for food, and 15% of the money spent on food was spent on snacks. If they spent $45 on snacks, what is their monthly income?
Answer:
There monthly income is 300$
What is Theoretical Probability in your own words ?
Answer:
Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes. The result is a ratio that can be expressed as a fraction (like 2/5), or a decimal.
Step-by-step explanation:
Which 2 triangles are similar
Answer:
Triangle A and B
Step-by-step explanation:
The lengths from triangle A is being doubled to make the lengths of triangle B. They also have the same angles.
how can I subtract 4/3 - 1/3
Answer:
1
Step-by-step explanation:
Since they have the same denominator, it would be:
[tex]\frac{4}{3}-\frac{1}{3}=\frac{4-1}{3} =\frac{3}{3}=1[/tex]
ASAP
a golden bar has a mass of 12.5kg. the density of gold is 19.3 g/cm^3. work out the volume of the gold bar. give your answer to correct 3 sf.
Answer:
647.668 cm³
Step-by-step explanation:
12.5 kg = 12500 g
12500 g/19.3 g/cm³ = 647.668 cm³
What is the period of f(x) = sin(x)?
Pi over 2
Pi
3 pi over 2
2 pi
Answer:
2pi
2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.
Step-by-step explanation:
please answer asap! no scam links or scam comments or reported.
Answer:
C
Step-by-step explanation:
Answer:
B. The longer a skydiver is in freefall, the more feet they fall per second
Step-by-step explanation:
can i get help on this?
Last year, scientists claimed there were 10,000 different species of ants around the world. Since then, the number of different species have decreased by 5.1%. How many different species of ants are estimated currently?
help what's the correct answer and how did u get it
Answer:
9490.
Step-by-step explanation:
First you take 5.1% of 10,000 which is 510 and then you do 10,000-510= 9490.
Hope this helps!
(4-i)(2+5i) simplify
Answer: 13+18i
Step-by-step explanation:
(4-i)(2+5i)
8+20i-2i-5(i)^2
as we know that i^2=-1
8+18i-5(-1)
8+18i+5
13+18i
What is the the length of each chord ?
Answer:
3
Step-by-step explanation:
i don’t need to show work but it would help :)
Answer:
d. (73.9 in^2)
Step-by-step explanation:
I suppose that 9.7 in is the diameter.
R=D/2=9.7/2=4.8in
A=π*(R^2)=3.14*(4.8)^2=73.9 in^2
Finding the rate of a tax or commission
The sales tax for an item was $11.70 and it cost $390 before tax.
Find the sales tax rate. Write your answer as a percentage.
1%
Х
?
Answer:
3%
Step-by-step explanation:
$390 x tax rate = 11.70
tax rate = 11.70/390
tax rate = .03 or 3%
Please help me with this!
Answer:
Step-by-step explanation:
Its going to be a negative
negative, if wrong so sorry
Find the value of x. Round to the nearest degree
Answer:
b. 44°
Step-by-step explanation:
Reference angle = x
Hypotenuse = 21
Adjacent = 15
Apply trigonometric function CAH:
[tex] Cos(x) = \frac{Adj}{Hyp} [/tex]
[tex] Cos(x) = \frac{15}{21} [/tex]
[tex] x = cos^{-1}(\frac{15}{21}) [/tex]
x = 44.4153086° ≈ 44° (nearest degree)
A child can choose one stuffed animal. She can choose from a dog or a bear. Each comes in brown, gray or white. You can also choose green eyes or blue eyes. How many possible stuffed animal choices does the child have?
Step-by-step explanation:
[tex]2 \times 3 = 6 \\ 6 \times 2 = 12[/tex]
TIMED PLS HELP ME IM BEGGING
Answer:
4 cm
Step-by-step explanation:
Cylinder Volume formula:
V = πr²h
Given:
V = 240π
h = 15
Finding r:
V = πr²h
240π = πr²(15)
r² = 240π/15π
r² = 16
[tex]\sqrt{r^2} =\sqrt{16}[/tex]
r = 4
Answer:
4 cm
Step-by-step explanation:
TTr^2h = 240TTcm^3(the TT cancel out)r^2 x 15 = 240cm^3(divide both sides by 15)r^2 = 16(square root both sides)r = 4cmLet the graph of g be a reflection in the y-axis, followed by a translation 5 units down of the graph of f(x)=3x√4. Write a rule for g.
Answer: sorry don't know but uhh its 5
Step-by-step explanation:
what property is 8 • 1 and 8
the box and whisker plot below shows the volunteer service hours performed by students at indian trail middle school last summer
Answer:
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
circuit compare
with the current in a series circuit, if both circuits have the same
type of cell and the same number of identical flashlight bulbs?
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
A =
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
A =
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Drag and drop the appropriate number into the box.
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is
What is the area of this figure?
Select from the drop-down menu to correctly complete the statement.
The area of the figure is Choose...128136153258 in².
What is the area of this figure?
Drag and drop the appropriate number into the box.
1. Select all the relationships that demonstrate a positive association between variables.
(Sketch a graph if needed in order to identify a positive relationship)
A. Outside temperature and cost to heat a home
B. Number of people in a grocery check-out line and how long you have to wait to check out
C. Length of time you have walked and distance you have traveled
D. Pounds of cherries you buy and amount of money you spend on cherries
E. Speed of a train and the amount of time it takes for the train to get to its destination
The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured must show equivalence to this standard. If the process can manufacture insulators with a mean breaking strength of at least 9.5 psi, it will be considered equivalent to the standard. A random sample of 50 insulators is available, and the sample mean and standard deviation of breaking strength are 9.32 psi and 0.21 psi, respectively. a. State the appropriate hypotheses that must be tested to demonstrate equivalence.
Answer:
H0: u ≥ 9.5
Ha: u < 9.5
Step-by-step explanation:
The null hypothesis and the alternate hypothesis are reverse of each other.
The claim is either set as the null or alternate hypothesis
The null hypothesis is : H0: u ≥ 9.5 the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.
The alternate hypothesis is: Ha: u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is not considered equivalent to the standard.
Rewrite 2/5 and 4/11 so that they have a common denominator
Answer:
22/55 and 20/55
Step-by-step explanation:
multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55
I need help with the answer
9514 1404 393
Answer:
309.33π yd³
Step-by-step explanation:
We can subtract the volume of the sphere from the volume of the cone, but we'd like to point out that said difference is irrelevant to the problem. The sphere does not fit into the cone. We cannot tell exactly how the composite figure is constructed.
__
Cone volume is ...
V = 1/3πr²h
V = 1/3π(10 yd)²(23 yd) = 2300π/3 yd³
Sphere volume is ...
V = 4/3πr³ = 4/3π(7 yd)³ = 1372π/3 yd³
The difference between the cone volume and the sphere volume is ...
(2300 -1372)π/3 yd³ ≈ 309.33π yd³
If comparing x^2 to x^3, which value of x gives the greatest difference:x=6,x=8,x=10?
Answer:
the value of x that gives the greatest difference is 10.
Step-by-step explanation:
Given;
x² and x³
values of x = 6, 8 and 10
When x = 6
6³ - 6² = 216 - 36 = 180
When x = 8
8³ - 8² = 512 - 64 = 448
When x = 10
10³ - 10² = 1000 - 100 = 900
Therefore, the value of x that gives the greatest difference is 10.
The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the proportion of the travelers who feel that airports are safe. The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe. With an alpha level of 0.05, conduct a test to determine whether the true proportion of interest is higher than 0.7.
Answer:
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
Step-by-step explanation:
Conduct a test to determine whether the true proportion of interest is higher than 0.7.
This means that the null hypothesis is: [tex]H_{0}: p = 0.7[/tex]
And the alternate hypothesis is: [tex]H_{a}: p > 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]
The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.
This means that [tex]n = 500, X = \frac{375}{500} = 0.75[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}[/tex]
[tex]z = 2.44[/tex]
P-value of the test:
Probability of z being larger than 2.44, that is, a proportion larger than 0.75.
This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S
Z = 2.44 has a pvalue of 0.9927
1 - 0.9927 = 0.0073
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
A triangle with a base of 16 inch has an area of 104 inch quad what is the height of the triangle
the hight of the triangle is 13 inches