Answer:
3.6 more miles
Step-by-step explanation:
10.4 - 6.8 = 3.6
W You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. You also save $40 per month in a safe at home. Write a function C(t) =b(t) +h(t), where b(t) represents the balance of your savings account and h(t) represents the amount in your safe after t years. c(t) = Find and interpret C(5). C(5) = $
Answer:
C(5)= $13,172.05
Step-by-step explanation:
To calculate C(t), we need to divide the formula into two equations:
C(t) =b(t) +h(t)
b(t)= PV*(1+i)^n
n= number of months
i= monthly interest rate
PV= initial investment
h(t)= montlhy deposit* number of months
Now, for C(5); I assume its 5 years:
i= 0.036/12= 0.003
n= 5*12= 60
C(5)= 9,000*(1.003^60) + 40*60
C(5)= $13,172.05
The angle of elevation to the top of a flagpole is 50 degrees if the angle of elevation was measured 24 m from the flagpoles base wich expression can be used to find the height of the flagpole
Answer:
Tan 50 = H/24
Step-by-step explanation:
The set up will give a right angled triangle;
Given the following
angle of elevation = 50degrees
Distance of elevation from the flagpole base = 24m (Adjacent)
Required
Height of the flagpole (Opposite) = H
Using the SOH CAH TOA identity
Tan theta = opposite/adjacent
Tan 50 = H/24
H = 24tan50
H = 24(1.1918)
H = 28.60
Hence the required expression is Tan 50 = H/24 where H is the height of the flagpole
The height of the flagpole is 28.60.
Given
The angle of elevation to the top of a flagpole is 50 degrees.
The angle of elevation was measured 24 from the base of the flagpole.
The angle of elevation;The angle of elevation of the sun is the angle formed between the horizontal line and your line of sight when you look at the sun.
Let the height of the flagpole be H.
Then,
The height of the flagpole is given by;
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\[/tex]
Substitute all the values in the formula;
[tex]\rm Tan\theta=\dfrac{Opposite \ side}{Adjacent \ side}\\\\ \rm Tan50=\dfrac{H}{24}\\\\H = 24 \times tan50\\\\H = 24\times 1.91\\\\H=28.60[/tex]
Hence, the height of the flagpole is 28.60.
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Find AC.
B
7x6
6x +4
Answer:
AC = 64
Step-by-step explanation:
the triangles are congruent because SAS
AC = AB
7x-6 = 6x+4
x = 10
AC = 64
Jollys scores for the first 3 quarters of the school year were 82, 94, and 88. ahe wants to get an average of 90 for this year. What must her 4th quarter score be?
Answer:
96
Step-by-step explanation:
You add the scores, add 96, divide by 4 and you get 90.
what is the volume Jacobs refrigerator is shown below
Answer:
Where is it ?
Step-by-step explanation:
Which of the following is a characteristic of all parallelograms?
Answer:
The opposite sides are always parallel.
In the figure below ∠APE and ∠EPD are congruent.
What is the arc measure of minor arc AC on circle P in degrees
Answer:
minor arc AC = 150 degrees
Step-by-step explanation:
minor arc AC = 360-136-74 = 150 degrees
Answer: 150
Step-by-step explanation: Khan Academy
solve the equation. simplify your answer. 2x(x-4)-3(x+5)=x(1-x)-16
Answer:
x=6+√33/3,6−√33/3
Step-by-step explanation:
hope this helps
how is 3/4 bigger than 2/4
Answer:
3/4 is equivalent to .75 and 2/4 is equivalent to .50 so this shows .75 is greater than .50 allowing us to know 3/4 is greater than 2/4
Step-by-step explanation:
Answer:
Hey
Ok ima explain it in the most simple way
lets start with 2/4 if you count and do everything correctly 2 is halfway from 4 so its 50%. think of it this way 2/4 is 50% because 2 is only halfway to 4.
3 is more than half way to 4 because it is only up to 4. You can only do this method when the denominator is the same. 3/4 is bigger than 2/4 because 3 is bigger than 2.
Step-by-step explanation:
Have a good day!!
What is the sum of the matrices shown below?
Answer:
[tex] \red{ \bold{\begin{bmatrix} - 4 & 26 & - 5 \\ \\6 & 17& - 8\end{bmatrix} }}[/tex]
Step-by-step explanation:
[tex] \begin{bmatrix} 4 & 19 & - 5\\ \\ 7 & 0 & - 14\end{bmatrix} + \begin{bmatrix} -8 & 7 & 0\\ \\ - 1 & 17 & 6\end{bmatrix} \\ \\ = \begin{bmatrix} 4 + ( - 8) & 19 + 7 & - 5 + 0\\ \\ 7 + ( - 1) & 0 + 17& - 14 + 6\end{bmatrix} \\ \\ = \begin{bmatrix} 4 - 8 & 19 + 7 & - 5 + 0\\ \\ 7 - 1 & 0 + 17& - 14 + 6\end{bmatrix} \\ \\ \purple{ \bold{ = \begin{bmatrix} - 4 & 26 & - 5 \\ \\6 & 17& - 8\end{bmatrix} }}[/tex]
[tex]\left[\begin{array}{ccc}-4&26 &-5 \\6&17&-8\\\end{array}\right][/tex] is the sum of the given matrices.
What is matrices?There are columns and rows in a matrix. The dimensions or size of a matrix are determined by these rows and columns. There are many different kinds of matrices, including row, column, null, square, diagonal, upper triangular, lower triangular, symmetric, and antisymmetric matrices.
Given two matrices,
[tex]\left[\begin{array}{ccc}4&19&-5\\7&0&-14\\\end{array}\right][/tex] and [tex]\left[\begin{array}{ccc}-8&7&-0\\-1&17&6\\\end{array}\right][/tex]
We need to find the sum of this given matrices
The only matrices that may be added together are ones of the same size. As a result, you can only add matrices if they are both m × n. For example, you can add two or more 3 × 3, 1 × 2, or 5 × 4 matrices. You cannot add a 2 × 3 and a 3 × 2 matrix, a 4 × 4 and a 3 × 3, etc. The number of rows and columns of all the matrices being added must exactly match.
thus,
Sum of matrices = [tex]\left[\begin{array}{ccc}4 -8&19 +7 &-5 + 0\\7 -1&0 + 17&-14 +6\\\end{array}\right][/tex]
Sum of matrices = [tex]\left[\begin{array}{ccc}-4&26 &-5 \\6&17&-8\\\end{array}\right][/tex]
Therefore, option D is correct.
Learn more about matrices here:
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Answer 1 and 2 please.
Answer:
Give me the questions and I'll edit my answer
Step-by-step explanation:
Answer:
what the question then I'll edit answer ;-;
Step-by-step explanation:
A graprfruit has a mass of 100 grams, a watermelon has a mass 4 times the mass of the grapefruit. What ia the mass of the watermelon in centigrams?
A farmer sells 8.9 kilograms of apples and pears at the farmer's market. 3/5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
You have found the following ages (in years) of 4 tigers. The tigers are randomly selected from the 31 tigers
at your local zoo:
22, 13, 18, 16
Based on your sample, what is the average age of the tigers? What is the estimated variance of the ages?
You may round your answers to the nearest tenth.
Average age:
years old
Variance:
years
The average number is 17.25. The variance is 14.24.
What are the mean and variance?Variance is the anticipated squared variation of a random variable from its population mean or sample mean in probability theory and statistics. Variance is a measure of dispersion, or how far apart from the mean a group of data is from one another.
Given that the tigers are randomly selected from the 31 tigers at your local zoo:
22, 13, 18, 16
Mean = ( 22 + 13 + 18 + 16 ) / 4
Mean = 17.25
Variance = ∑(x - xm ) / n - 1
Variance = [( 22 - 17.25)² + ( 13 - 17.25 )² + ( 18 - 17.25 )² + ( 16 - 17.25 )²] / 4 - 1
Variance = ( 18.06 + 0.5625 + 1.5625 +22.56) / 3
Variance = 14.24
Therefore, the average number is 17.25. The variance is 14.24.
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15
42
Which interval for the graphed function contains the
local minimum?
O [-1, 1]
O [1, 2]
O [-3, -1]
O (-5, -3]
2
3
4
5
Х
6
-12
-15
Answer:
probably -3, -1 bc it is local to origin and the minimum in that situation. I just got into this topic myself so I'm not exactly sure
WILL MARK BRAINLEST PLS HELP ME Find the area of the circle. Round to the nearest tenth. Use 3.14 for it.
32 m
The area of the circle is about
m2.
Answer:
[tex]804.3m^2[/tex]
[tex]\pi *16^2=804.24772[/tex]
Two parallel lines are cut by a transversal as shown below.
Suppose m 2 8 = 132º. Find m Z1 and m 2 3.
2.
4
3
5
6
8
8
7
Answer:
∠1 = ∠3 = 48
Step-by-step explanation:
∠8 = 132
∠4 = ∠8 {Corresponding angles}
∠4 = 132
∠1 +∠4 = 180 {Linear pair}
∠1 + 132 = 180
∠1 = 180 - 132
∠1 = 48
∠3 = ∠1 {Vertically opposite angles}
∠3 = 48
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. What was the price of apples on Monday?
Answer:
$12 on Monday
$16 on Tuesday
$28 in total
Step-by-step explanation:
Multiply the number of pounds by the cost per pound on Monday:
3 * 4 = $12 on Monday
If you want to find the price on Tuesday as well (I know it doesn't ask for it) you can calculate 20% of 4 by multiplying:
4 * 0.2 = 0.80
Next, subtract the 20% from the normal price:
4 = 0.80 = 3.20
Finally, multiply the discounted price by the number of pounds she bought:
3.20 * 5 = $16 on Tuesday
You can find the total of both Monday and Tuesday by adding the two together:
12 + 16 = $28.00 in total
what is the correct graph
Answer:
the first one. with two shaded dots and a line between them
What transformation takes the graph of g(x) = x2 – 5 to the graph of
h (x) = x² – 1
Answer:
We need the following translation: [tex]h(x) = g(x) +4[/tex]
Step-by-step explanation:
To transform [tex]g(x)[/tex] into [tex]h(x)[/tex], we need must apply the following translation:
[tex]h(x) = g(x) +4[/tex] (1)
If we know that [tex]g(x) = x^{2} -5[/tex], then the expression of [tex]h(x)[/tex] is:
[tex]h(x) = x^{2}-5 +4[/tex]
[tex]h(x) = x^{2}-1[/tex] (2)
Which demonstrates the affirmation.
Really need help on this please
Answer (5,9)
Step-by-step explanation:
that is the answer
3 1/8 - 7/12
NEED HELP ASAP!!! Plz
Step-by-step explanation:
hope this right.but if its not,im so sorry
Please help me please!
Answer:
D) cannot factor
Step-by-step explanation:
D) cannot factor
D: cannot factor
it’s not factorable
7.4: How do You Know?
Explain how you know these two figures are similar.
WILL GIVE BRAINLIST
Answer:
The one on the right is 25 percent smaller then the one on the left. They have he same angle measures. The line lengths are just different.
Step-by-step explanation:
Hope this helps.
Your math teacher tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth 2 points each and word problems are worth 5 points. How many of each type of question are there?
The safety officers of a mining company take an SRS of 500500500 employees and finds that 15\, percent of the sampled employees wear contact lenses. The safety officers may take several more samples like this. Suppose it is really 12\, percent of the approximately 34{,}00034,00034, comma, 000 employees in the company who wear contact lenses. What are the mean and standard deviation of the sampling distribution of the proportion of employees who wear contact lenses
Answer:
The mean of the sampling distribution of the proportion of employees who wear contact lenses is 0.12 and the standard deviation is 0.0145.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
12% of the employees wear contact lenses.
This means that [tex]p = 0.12[/tex]
Samples of 500:
This means that [tex]n = 500[/tex]
What are the mean and standard deviation of the sampling distribution of the proportion of employees who wear contact lenses?
Mean:
[tex]\mu = p = 0.12[/tex]
Standard deviation:
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.12*0.88}{500}} = 0.0145[/tex]
The mean of the sampling distribution of the proportion of employees who wear contact lenses is 0.12 and the standard deviation is 0.0145.
find the sequence, i need help please
Which of the following is not true?
А
371 > 9
B
27+3> 17
2
C
? <21 +4
D
5-/24< 1
Answer:
IT IS B
Just trust me ; P
Because 24 square rooted = 5.196152422706632
Now add three - 8.196152422706632
17/2 = 8.5
8.196152422706632<8.5
A snowstorm lasted for three days. During the storm, 8 inches of snow fell on the first day, 6 inches of snow fell
on the second day, and 9 inches of snow fell on the third day. Altogether, how many feet of snow fell during the
three-day snowstorm? Use paper to show your work.
During the snow storm
feet of snow fell.
Answer:
Basically we need to add all of the inches
Step-by-step explanation:
so...
8 inch ( first day ) + 6 inch ( second day) + 9 inch ( third day )
add all those inches together what do you get?
23 inches in total. So altogether 23 inches of snow fell during the 3-day storm
Answer:
1.9
Step-by-step explanation:
A foot is 12 inches, add 8+9+6 you get 23 convert. 23 inches to feet you get 1.9 feet
in a parking lot 60% of the cars are four-door cars.If there are 75 four-door cars in the parking lot how many cars are in the parking lot all together?
Answer:
there are 125 cars in the parking lot
Step-by-step explanation:
