Answer:
90 inch=2.5 yard
Step-by-step explanation:
divide the length value by 36
happy to help ya :)
Someone plz help been stuck on this question for the last 2 hours
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answer:
7% interest = $10000
13% interest = $20000
Step-by-step explanation:
Let the amount invested at 7% interest be x.
Let the amount invested at 13% interest be y.
Thus;
x + y = 30000 - - - (eq 1)
We want to find out how much Paul needs to invest in each option to make a total 11% return on his $30,000.
Thus;
0.07x + 0.13y = 0.11(30000)
Multiply through by 100 to get rid of the decimal;
7x + 13y = 0.11(30000 × 100).
7x + 13y = 330000 - - - (eq 2)
From eq 1, x = 30000 - y
Put this for x in eq 2 to get;
7(30000 - y) + 13y = 330000
210000 - 7y + 13y = 330000
6y = 330000 - 210000
6y = 120000
y = 120000/6
y = $20000
x = 30000 - 20000
x = $10000
Thus;
Amount invested at;
7% interest = $10000
13% interest = $20000
–5(–2) also i checked and apparently its not -7
Answer:
Im pretty sure you need to multiply answer is 10
Step-by-step explanation:
because the -5and -2 are right next to each other and if -7 doesn't work thats the next best thing.
help and please explain will give brainliest
Answer:
2.83
Step-by-step explanation:
36 pi = pi×r×r×h
36=r×r×h
h= 4
36= r×r×4
8=r×r
[tex] \sqrt{8} = x[/tex]
r= 2.83
Henri challenges Emile to a walking race. Because Emile's walking rate is faster, Emile gives Henri a 45-meter head start. Emile knows his brother would enjoy winning the race, but he does not want to make the race so short that it is obvious his brother will win. How long should the race be so that Henri will win in a close race?
Answer:
about 29 seconds and 74 meters
Step-by-step explanation:
Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west at 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing
Answer:
99miles is more likely correct
or 114miles as knots is usually higher mileage
Step-by-step explanation:
70^2 + 70^2 = c^2
sqrt 4900 + sqrt 4900 = c^2
sq rt 9800 = c^2 = 98.9949494
99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph
70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.
The ratio of the three angles of a triangle is 2:4:6. What is the measure of the
SMALLEST angle?
An accounting firm has recently recruited six graduates: three men and three women. Three of the graduates are to be selected at random to work in the firm’s suburban office. Construct the probability tree. What is the probability that at least two women will be selected? Round your answer to three decimal places.
Answer:
a) The probability tree is constructed below
b) the probability that at least two women will be selected is 0.500
Step-by-step explanation:
Given the data in the question;
a) The probability tree is as follows;
3 men, 3 women
↓
_______________________|________________________
↓ ↓ ↓ ↓
3 men 2 men 1 man 0 men
0 women 1 woman 2 woman 3 women
b) the probability that at least two women will be selected
p( at least two women would be selected) = P( there are 2 women out of 3 ) + P( there 3 women out of 3
so
p( at least two women would be selected) = C
³C₂ × ³C₁ / ⁶C₃ + ³C₃³C₀ / ⁶C₃
= 3!/(2!(3-2)!) × 3!/(1!(3-1)!) / 6!/(3!(6-3)!) + 3!/(3!(3-3)!) × 3!/(0!(3-0)!) / 6!/3!(6-3)!)
= 3 × 3 / 20 + 1 × 1 / 20
= 9/20 + 1/20
= 0.45 + 0.05
p( at least two women would be selected) = 0.500
Therefore, the probability that at least two women will be selected is 0.500
forty percent of N is equal to two hundred forty. how do i write in number?
The number N whose forty percent is 240 is 600, or we say that 40% of 600 is 240
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we are specified that:
40% of N = 240
Since 40% of N is [tex]\dfrac{N}{100} \times 40[/tex], thus, we get
[tex]\dfrac{N}{100} \times 40 = 240[/tex] (as they both are same quantity, ie. 40% of N)
Now, solving it further to get value of N:
[tex]\dfrac{N}{100} \times 40 = 240\\\\\text{Multiplying 100 on both the sides}\\\\N \times 40 = 24000\\\\\text{Dividing both the sides by 40}\\\\N = 24000/40 = 600[/tex]
Thus, 40% of 600 is 240 or we say that the number N whose forty percent is 240 is 600
Learn more about percent here:
https://brainly.com/question/11549320
There is a line who slope is 3 and who’s Y intercept is -10. Right it’s equation in slope intercept form
Step-by-step explanation:
substitute the given value in the standard form equation. it will give you the slope intercept form
Problem 2
An online retailer advertises the following shipping and handling fees for every order:
Order Amount ($)
0 – 49.99
50 – 75.99
76+
Shipping and Handling ($)
3.95
11.95
5.95
The sales tax in Arizona on online orders is 5.6%. Use this information to answer the following questions.
**Assume that the shipping and handling is added after the sales tax is applied to the order.
Part a)
Using the information above, write an equation that represents the total cost as a function of the order amount in a customer’s “cart”. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)
Part b)
Genevieve, who lives in Prescott, has a cart total of $74.50. How much will her total cost be? (Remember: Show all your work for full credit)
Part c)
Rafael, who lives in Tucson, paid $89.20 for his items. How much was his cart total? (Remember: Show all work, and make sure you get all of the answers)
Answer:
Let the 'cart' total is x and total payment is y.
The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.
Part AThere are three intervals as below and function added accordingly:
0 < x ≤ 49.99 ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.9550 ≤ x ≤ 75.99 ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95x ≥ 76 ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95Part Bx = 74.50, this falls in the second intervaly = 74.50*1.056 + 11.95 = $90.62 (rounded )Part Cy = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.
89.20 = 1.056x + 11.951.056x = 89.20 - 11.951.056x = 77.25x = 77.25 / 1.056x = 73.15 (rounded )-----------------------------------------
Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.2x-5y + 11=0 3x-4y=18
Answer:
x = 134/7
y = 69/7
Step-by-step explanation:
let the x or y have a same coefficient to have a better way to solve it
1. 25% of 300
2. 20% of what number is 50?
3. What percent of 120 is 40?
4. If 20% of 60 is 12. Which represent the percentage?
5. Which represent the base?
Answer:
rawrrrrrr
Step-by-step explanation:
rawrrrrrrrrrrrrrrrr
Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.
Answer:
80.11 inches
Step-by-step explanation:
The formula to finding the circumference of a circle is:
C = 2πr (C = circumference, π = pi, r = radius)
Replace r with the radius:
C = 2π(12.75)
Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded
to the nearest hundredth is 80.11
[tex]53 \times \frac{8}{6} [/tex]
i dont know how to do it can u show me
Answer:
What do you want your answer in? Exact or decimal form?
Exact form: 212/3
Decimal form 70.6
Step-by-step explanation:
Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.
What is 730 divided by 30
Answer:
24 1/3
Step-by-step explanation:
long division
Which statement is not true? Help ASAP! Thanks!!
Answer:
4 option...... .......
[tex]obtain the fourier expansion for sin ax in the interval - | \leqslant \times \leqslant | [/tex]
1. Evaluate the expression when b = 24.3
10 + b
HELP!!! I have no clue!!! Please help
48/96 in its simplest form
Answer:
1/2
Step-by-step explanation:
just divide it I guess
1/2
48/2
=24/2
=12/2
=6/2
=3
Hope this helps :D
Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question
Answer:
I guess 5
Step-by-step explanation:
2 q 0 n 0 d
1 q 1 n 2 d
1 q 3 n 1 d
1 q 5 n 0 d
0 q 3 d 4 n
When 2 times a number is increased by 9, the answer is the same as
when 30 is decreased by the number. Find the number. HELP ME
Answer:
its 7
Step-by-step explanation:
why did u delete my answer if its right?
It is important to comparison shop when purchasing a car.
What does comparison shop mean?
-Always buy from a
local dealership
-Take several photos to
use for comparison
-Compare the price &
quality from different
vendors
-Compare the true
market value of every
vehicle
Answer:
Compare price and quality
Step-by-step explanation:
I did this test
Answer:
option c
Step-by-step explanation:
comparing the price and quality from different vendors is important as we are giving a money we should be sure enough that quality is also as much the money
Factor the expression 49t4 - 25 using the polynomial identity (x2 - y2) = (x - y)(x + y)
Answer:
Step-by-step explanation:
49t^4-25
(7t^2-5)(7t^2+5)
please help me get this answer
Answer:
Step-by-step explanation:
Due to similarity in Tri ABC and ADE so,
[tex]\frac{AD}{AB} =\frac{DE}{BC} =\frac{AE}{AC}[/tex]
[tex]AE=28.2*\frac{20}{24} =23.5cm[/tex]
[tex]EC=AC-AE =28.2-23.5=4.7cm[/tex]
What is the approximate height of the building? Round to the nearest tenth of a foot. feet
Answer:
22.5 feet
Step-by-step explanation:
The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.
Calculation of the height:Since
A 26-foot-long ladder is leaning against a building at a 60 degree angle with the ground.
We know that
sin θ = Perpendicular/Hypotenuse.
So
here we assume p be the Perpendicular
So,
sin60 = p/26.
p = 26*sin60.
p = 22.5
hence, The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.
Learn more about height here; https://brainly.com/question/21005254
) Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
can you pleas help and show your work :)
Answer:
9 cows, 15 chicken
Step-by-step explanation:
9 x 4 = 36
15 x 2 = 30
9 + 15 = 24
36 + 30 = 66
What is the slope of the red and blue line
Answer:
red=-1/4 blue= 4/1
Step-by-step explanation:
rise/run
An underground aquifer near Seiling, Oklahoma, sits on an impermeable layer of limestone. West of Seiling the limestone layer is thought to slope downward in a straight line. In order to map the limestone layer, hydrologists started at Seiling heading west and drilled sample wells. Two miles west of Seiling the limestone layer was found at a depth of 220 feet. Three miles west of Seiling the limestone layer was found at a depth of 270 feet
(a) What would you expect to be the depth of the limestone layer 5 miles west of Seiling
(b) You want to drill a well down to the limestone layer as far west from Seiling as you can. Your budget will allow you to drill a well that is 275 feet deep. How far west of Seiling can you go to drill the well? (Round your answer to one decimal place.)
Answer:
(A) 490ft.
(B) 2.8 miles
Step-by-step explanation:
Important points to note:
- The limestone layer is thought or assumed to slope downward in a straight line.
- 2 miles west of Seiling, the limestone layer was found at a depth of 220ft.
- 3 miles west of Seiling, the limestone layer was found at a depth of 270ft.
(A) What would you expect to be the depth of the limestone layer, 5 miles west of Seiling?
The expected depth of the limestone layer is:
2 miles + 3 miles = 5 miles
220ft + 270ft = 490ft
(B) Your budget will allow you drill a well that is 275ft deep. How far west of Seiling (in miles) can you go, to drill the well?
If 490ft ~ 5 miles
then 275ft ~ K miles
K = [275 x 5] / 490 = 2.80612245 miles
Rounding to 1 decimal place, the distance is 2.8 miles.
The mass of carbon is 1.995 x 10^-23 grams per atom and the mass of hydrogen is
1.674 X 10^-24 grams per atom. Which is larger?
Answer:
Carbon
Step-by-step explanation:
When the power of 10 is negative, the less the exponent the bigger the number
Answer:
Step-by-step explanation:
the larger number is 1.995x10^-23
Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:
a.
1923.24
b.
1816.93
c.
1500
d.
1485
Answer:
c.
1500
Step-by-step explanation:
The computation of the total amount of interest in first month is shown below:
Interest for first month is
= Mortgage amount × interest rate ÷ total number of months in a year
= $300,000 × 6% ÷ 12
= $1,500
Hence, the interest in the first month is $1,500
Therefore the c option is correct