Answer:
height of the utility pole = 12 meters
Step-by-step explanation:
It is simple application of Pythagoras theorem.
In the given case, Length of cable (Hypotenuse) H = 13 meters, distance between base of pole to the point on the ground(Base) B = 5 meters and height of pole ( Perpendicular) P form a right angle triangle.
The applying Pythagoras theorem.
H^2 = P^2 +B^2
⇒ P^2 = H^2-B^2 = 13^2-5^2 = 144
⇒ P = 12 meters
hence, height of the utility pole = 12 meters
Jose wants to pay off his credit card balances within 18 months. He is trying to decide if he should use his $1,750 in
savings to pay off part of the balances or if he should transfer the balances to a new card with a low introductory
rate. The new credit card has an introductory rate of 8% but charges a balance transfer fee of $60 for each balance
transfer. Jose decides to pay off Credit Card B using his savings and then transfer the balance of Card A to the new
card. Which of the following options shows the amount of Jose's new monthly payment?
Credit Card A: $1,154
Credit Card B $1,469
A. $90.43
B. $68.25
C. $71 80
D. $75.34
Answer:
ANSWER IS C: 71.80
Step-by-step explanation:
hope this helps :D you got this!!
The amount that corresponds to the new monthly payment of Jose is approximately $75.34. Hence, option D is correct.
What is use of credit card ?Credit cards are a widely used financial tool that allow individuals to make purchases on credit. The main use of a credit card is to allow the cardholder to borrow money from the card issuer
If Jose decides to pay off Credit Card B using his savings of $1,750, he will have a remaining balance of $1,154 on Credit Card A.
If he transfers the balance of Credit Card A to the new card with a low introductory rate of 8%, he will incur a balance transfer fee of $60.
The total balance transferred = $1,154 + $60 = $1,214.
To determine his new monthly payment, we need to calculate the monthly interest rate on the new card.
At an annual interest rate of 8%, the monthly interest rate is :
8% / 12 = 0.67%.
Using an online loan calculator or spreadsheet, we can calculate that the monthly payment required to pay off a balance of $1,214 in 18 months at a monthly interest rate of 0.67% is $75.34 (rounded to the nearest cent).
Therefore, the answer is D. $75.34, which represents Jose's new monthly payment.
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Kirti bookstore sold books worth Rs.285891 in the first week of june and books worth Rs.400768 in the second week of the month .How much was the sale for two weeks together ? In which week was the sale greater and by how much?
Answer: A)Sale for two weeks =Rs. 686,659. b)\Kriti books had greater sales in the second week than the first by Rs.114877
Step-by-step explanation:
Price of books sold in the first week=Rs.285891
Price of books sold in the second week=Rs.400768
Total Amount of books sold in the two weeks=Rs.285891 +Rs.400768 =
Rs. 686,659.
Fro the question, we can see that Kriti books store has more sales in the second week.
Which is greater than in the first week by Rs.114877
Rs.400768 -Rs.285891 =Rs.114,877
A recipe uses cups of milk to make servings. If the same amount of milk is used for each serving, how many servings can be made using gallon of milk?
Answer:
128 servings
Step-by-step explanation:
A recipe Uses 1 1/4 cups of milk to make 10 servings if the same amount of milk is used for each serving how many servings can be made using one gallon of milk
Cups of milk : number of servings = 1 1/4 cups : 10 servings
One gallon of milk = 16 cups
Let x = number of servings
Cups of milk : number of servings = 16 cups : x
Equate both ratios
1 1/4 : 10 = 16 : x
5/4 ÷ 10 = 16/x
5/4 × 1/10 = 16/x
5/40 = 16/x
1/8 = 16/x
Cross product
1 * x = 8 * 16
x = 128 servings
Number of servings = 128
the square of a negative number increased by 6 times the number is 72. Find the number.
Answer:
y = 6
Step-by-step explanation:
(y + 6) × y = 72
y = negative number²
When negative numbers are squared they become positive.
y = 6
Check
(6 + 6) × 6 = 72
12 × 6 = 72
Find the radius of the button
Answer:
the radius is 14
Step-by-step explanation:
... ....ur welcome.........
since the diameter of it is 28 the radius is half of it
Please help me I dont really understand
(this is 12 year old math)
Answer:
S represents sasha and B represents brother.
Equation is s = b + 4
11
13
16
24
Step-by-step explanation:
Let s represent Sasha
Let b represent brother
Answer:
When B is 7, S is 3.
When B is 9, S is 5.
When S is 20, B is 24.
When S is 28, B is 32.
When heat energy is increased for a substance the ______?
HELP!!
Answer:
molecules speed up
Step-by-step explanation:
temperature has a strong affect of the movement of molecules
HELLO!! I NEED HELP! Please show full Solutions. I will mark brainliest for the best answer. Thank you and god bless.
A loggerhead sea turtle decided to swim to grab some lunch! She swam 4 miles west and 3 miles south until she stopped and found a delicious crab to eat. What is the distance between the sea turtle's start point and where she found the crab? Round to the nearest tenths place, if necessary.
Answer:
5 miles
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length = 4
b = base= 3
c = hypotenuse
4² + 3²
16 + 9 = 25
√25 = 5
What is the slope of the line passing through points (2, 1) and (5, 7)?
Answer:
(3, 6)
Step-by-step explanation:
(x1, y1) and (x2, y2)
x2 - x1, y2 - y1
(x*, x*)
(2, 1) and (5, 7)
5 - 2, 7 - 1
(3, 6)
can i get help please so much :)
Answer:
Mean: 76.6 (rounded the original number- 76.571)
Median: 75
Mode: 75
Range: 49
Standard Deviation: 14.50 (i round it, original number- 14.4504)
Step-by-step explanation:
I calculated everything, please lemme know if any of it is wrong!
I need help wit math
Answer:
1/2
Step-by-step explanation:
Even numbers on the dice:
2, 4, 6
Probability of getting even:
3/6
1/2
Please answer correctly!! I’ll mark as brainliest!
No links no fake answers
Answer:
Option 3: cos A=15/17
Step-by-step explanation:
Sine is the opposite side over the hypotenuse,
Cosine is the adjacent side over the hypotenuse, and
Tangent is opposite side over the adjacent side
You can remember this with the acronym SOHCAHTOA (sine, opposite, hypotenuse, cosine, adjacent, hypotenuse, tangent, opposite, adjacent)
Option 3 uses cosine, so the adjacent angle to angle A would be 15 and the hypotenuse would be 17, so 15/17
people i have 3528 last time i asked a summary of a scary movie now do a summary of godzilla 2 king of the monsters
Step-by-step explanation: Go.dzilla 2 king of monsters is one of the best movies out there in my opinion, right down to the CGI, the movie makers did a fantastic job of creating an emotional attachment to the family in the movie.
Basically in the movie it starts in a nuclear power plant, the power plant has a melt down, kil.ling the team that went into the core to see what the issue was, the director of the power plants wife died and he knew that it wasn.t normal for the plant to meltdown the way it did, so he dedicates the rest of his life to trying to figure out what really happened there. He even goes as far as to sneak in to the restricted area with his son, when there they find out that they are digging up something from the wreckage, this is the giant moth (it wont let me say the name), The giant moth was feeding on the nuclear radiation and that was what caused the plant to melt down all those years ago. the giant moth then flies across the country searching for nuclear radiation and in turn waking her mate and destroying the place, this awakens Go.dzilla so that he can reassert himself as the ap.ex predator. He finds both the giant moths and kil.ls them and then returns to the bottom of the ocean.
Alguien me ayuda por favor :(.
FOR REA PLEASE HELP ASAP
Answer:
16
Step-by-step explanation: -7 is the least number and 9 is the greatest. the range between -7 and 9 is 16
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
Answer:
Step-by-step explanation:
The simple interest on a certain sum for 5years at 8% per annum is Rs200 less than the simple interest on the same sum for 3years and 4months at 18% per annum.Find the sum
The formula for Simple Interest = PRT
From above question, we have to find the Principal
The simple interest on a certain sum for 5years at 8% per annum is Rs200
Hence,
R = 8%
T = 5 years
Rs 200 = P × 8% × 5
P = 200/8% × 5
P = Rs500
The principal = Rs 500
The simple interest on the same sum for 3years and 4months at 18% per annum.
Simple Interest = PRT
R = 18%
T = 3 years and 4 months
Converted to years
T = 3 + (4 months/12 months)
T = 3.33 years
Hence,
Simple Interest = Rs 500 × 18% × 3.33 years
= Rs 299.7
Mary was allowed a discount of 11% for goods worth sh.8000 and a discount of 8.6% for goods worth sh.17000. What percentage discount was she allowed altogether
Mary got 9.37%. discount .
What is percentage discount?A percentage discount is a reduction in the price of a good or service that is expressed as a number of hundred. A 20 percent reduction, for instance, would result in an item that was originally $100 costing $80.Given ,
discount = 11%
So,
((8000x0.110) + (17000x0.086)) = 2342
⇒ 2342 / (8000+17000) = 2342/25000
= 0.0937 or 9.37% discount.
The percentage discount allowed all together was 9.37%.
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Which of the following equations represents this statement
Answer: 5n = 35
Step-by-step explanation:
The product of a number n and the number 5 is 35. This statement can be formed into an equation as:
n × 5 = 35
5n = 35
The equation is 5n = 35
If we want to get the value of the number, it'll be:
5n = 35
n = 35/5
n = 7
The number is 7
−k+2(−2k−5) simplified
Step-by-step explanation:
Square Mc hammered Square Puff
Answer:
-5(k + 2)
Step-by-step explanation:
Randy is checking to determine if the expressions 2 x + 2 + 4 x and 2 (3 x + 1) are equivalent. When x = 3, he correctly finds that both expressions have a value of 20. When x = 2, he correctly evaluates the first expression to find that 2 x + 2 + 4 x = 14.
What is the value of the second expression when x = 2, and are the two expressions equivalent?
Answer:
14
equivalent
Step-by-step explanation:
x=2
2(3(2)+1)=
2(6+1)=
2(7)=
14
equivalent
HELP ME PLSS WILL MARK BRAINLEST IF CORRECT
Answer:
19 inches
Step-by-step explanation:
Answer:
38 inches
Step-by-step explanation:
A group of people are fundraising, and each person raises a certain amount of money for every mile they walk. Each person's fundraising is
represented below using d for the dollars that person raises and w for the miles that person walks
Answer:
lk
Step-by-step explanation:
on
PLEASE help it’s due today at 10pm
Consider the function f(x)=15x^2+60x-19
Name the vertex for the function
The vertex for this function would be (-2,-79)
Which expression is a factor of 9x^2-4x+1 ( ps ^2 is an exponent)
Answer:
The discriminant b2−4ac < 0, the equation has no real number solutions, it has complex solutions
Step-by-step explanation:
9x² - 4x + 1 = 0 ax² + bx + c = 0
The discriminant: b² - 4ac = (-4)² - 4*9*1 = 16 - 36 = -20
b2−4ac < 0, the equation has no real number solutions, it has complex solutions
A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.
Answer:
The rounded answer would lead you to 603.
If this is wrong in sorry.
The volume of the cylinder will be [tex]V=602.88\ In^3[/tex]
What will be the volume of the cylinder?Given that
The diameter d=8 inches r= 4 inches
The height of the cylinder h=12 inches
the volume of the cylinder will be
[tex]V= \pi r^2h[/tex]
[tex]V=\pi\times (4)^2\times 12[/tex]
[tex]V=602.88\ Inch^2[/tex]
Thus the volume of the cylinder will be [tex]V=602.88\ In^3[/tex]
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Adding and subtracting integers not a lot!!
Answer:
??
Step-by-step explanation:
Solve the following quadratic equation for all values of x in simplest form.
5x(x^2-4)+10=10
first person to answer right get branliest
people in com.ments who right get a tha.nks and fo.llow
Answer:
[tex]x=0,\:x=-2,\:x=2[/tex]
Step-by-step explanation:
Do you want me to explain it?
Is anyone able to help me out with this???
Answer:
x = 24
Step-by-step explanation:
To simplify the work we can use the Pytaghoran theorem in this way:
x^2 + x^2 = (24√2)^2
2x^2 = 24^2 *(√2)^2
2x^2 = 576 * 2
x^2 = 576
x = +/- √576
x = +/- 24
we choose only the positive value because a length can’t be negative
x = 24
