Answer:
Around 11:15 am
Step-by-step explanation:
Let h represents the number of hours the plumber works
Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:
→ bill = 65 + 75h
Since the bill is $195.25
→ 195.25 = 65 + 75h
→ 75h = 130.25
→ h = 1.74
1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.
Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F.
Answer: it will take 5 hours to reach -1 °F.
Step-by-step explanation:
The temperature changes -4 degrees Fahrenheit per hour. This is a linear rate. The rate at which the temperature is decreasing is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence(the starting point)
d represents the common difference.
n = x = the number of terms in the sequence(number of hours)
From the information given,
a = 0(at 1 pm, number of hours is 0)
d = - 4 degrees (it is decreasing)
Tn = -1 °F.
We want to determine the number of hours, x when Tn = -1 °F
Therefore,
- 1 = 0 + (x - 1)- 4
- 1 = - x + 4
x = 4 + 1
x = 5 hours
The figure below is an isosceles triangle. What is the perimeter of the triangle in terms of a
and c?
Hey there! I'm happy to help!
-------------------------------------------------------------------
WHAT IS THE PERIMETER?
The perimeter is just the distance around a shape. If you put a fence around a field, the length of all of the fencing is the perimeter.
-------------------------------------------------------------------
WHAT IS AN ISOSCELES TRIANGLE?
An isosceles triangle is a triangle that has at least two sides that have the same length! In our triangle, we have two sides that have the value of a, so that makes it isosceles!
-------------------------------------------------------------------
THE SOLUTION
In our problem, we want to find the perimeter of this triangle in terms of a and c. When we say in terms of, it just means that our answer will include a and c instead of finding a number value.
The perimeter is the sum of each of these sides. This means that the perimeter is a+a+c, which is also 2a+c.
Therefore, the perimeter of this isosceles triangle is 2a+c.
-------------------------------------------------------------------
I hope that this helps! Have a wonderful day! :D
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
Learn more about simple & compound interest here:
https://brainly.com/question/16666364
#SPJ5
Answer:
D.
$2,071.20
Step-by-step explanation:
What is the value of the expression below ? 2[32-(4-1)]
There is a 3 in between the ) 3 ] but it looks like square / cubes something
The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.
SimplificationSimplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.
How to simplify an algebraic expression?Apply the BODMAS rule to simplify the algebraic expression.
Given that the expression is [tex]2[32-(4-1)][/tex]
First, simplify the bracket [tex](4-1)[/tex]
Then, [tex]2[32-(4-1)]=2[32-3][/tex]
Simplify the bracket [tex][32-3][/tex]
Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]
Multiply the numbers [tex]2[/tex] and [tex]29[/tex]
[tex]2[/tex] × [tex]29=58[/tex]
Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].
Learn more about simplification here-https://brainly.com/question/17579585
#SPJ2
Which function has the same range as f(x)=-2√x-3+8?
Answer:
[tex]g(x)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
got it right
g(x) = - √x + 3 +8 has the same range.
What is the range of a function simple?The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.
What is range in a relation?The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.
Learn more about the range of a function here: https://brainly.com/question/24137224
#SPJ2
A carpenter leans an extension ladder against a house to reach the bottom of a window 30 feet
above the ground. As shown in the diagram below, the ladder makes a 70° angle with the ground.
To the nearest foot, determine and state the length of the ladder.
Answer:The answer will be 35ft
Step-by-step explanation:
One way that you can answer this is by using sin law. You will put the length of a side on top and the corresponding angle that faces towards that side at the bottom of a fraction. So for this one it will be 30/sin(70) = x/sin(90) The 90 comes from the bottom of the building with the ground. And the side the angle faces is the ladder. After that you put 30sin(90)/sin(70) to find x. And you get 34.655 which rounds to 35 ft.
A sphere has a radius of 5 inches. What is its volume?
Sphere V=
WIT
4
72
3
1. Substitute the radius into the formula:
V=4(5)
V = (125)
2. Evaluate the power,
3. Simplify:
V=
it in, 3
Answer:
500/3
Step-by-step explanation:
just did it on edg!
A rectangular dog pen is constructed using a barn wall as one side and 60 meters of fencing for the other three sides. What is the maximum area of the dog pen?
Answer:
450 m²
Step-by-step explanation:
Let x = length of rectangle and y = width of the rectangle.
Therefore,
2x + y = 60...............(1)
Making y subject of the formula, we have:
y = 60 - 2x............... (2)
We know area of a rectangle is length * width i.e A = x*y
Let's substitute (60-2x) for y,
A = x * (60-2x)
= 60x - 2(x)²
= -2x² + 60x
[tex] \frac{dA}{dx} = -2x^2 + 60x = [/tex]
-4x + 60 = 0
-4x = -60
[tex] x = \frac{-60}{-4} = 15 [/tex]
Let's substitute 15 for x in equation 2, we have:
y = 60 - 2(15)
= 60 - 30
y = 30
Since x = 15 & y = 30, the area would be:
A = xy
A = 15 * 30
A = 450 m²
The maximum area of the dog pen is 450m²
Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?
35 inches
47 inches
50 inches
43 inches
will mark brainliest
Answer:
43, it raises by 4 each time. good luck!
Step-by-step explanation:
Order each set of the numbers from LEAST to GREATEST
0.23, 19%, 1/5
Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x
Answer:
2.8-5.4
Step-by-step explanation:
4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right
Pls help me answer this if ur good at algebra. Thanks .
Answer:
Step-by-step explanation:
Answer of this question is 2
Answer:
Step-by-step explanation:
Please help and show work and steps
Answer:
I and III
Step-by-step explanation:
On a unit circle, the only two angles whose sine is [tex]-\dfrac{\sqrt{3}}{2}[/tex] are [tex]\dfrac{4\pi}{3}[/tex] and [tex]\dfrac{5\pi}{3}[/tex], otherwise known as [tex]-\dfrac{\pi}{3}[/tex]. Therefore, the correct answers are I and III. You can see the unit circle below, where the y coordinates of the above angles show [tex]-\dfrac{\sqrt{3}}{2}[/tex].
.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?
Answer:
330 000 m²
Step-by-step explanation:
1. Area of farm
[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]
2. Area for wheat
[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]
3.Area for olive trees
[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]
4. Area for sunflowers
Total area = 1 000 000 m²
- Area for wheat = 280 000 m²
- Area for olive trees = 390 000
670 000
Area for sunflowers = 330 000 m²
Sunflowers occupy 330 000 m².
which of the following is equivalent to 5 cube root 13^3
Answer:
d. 13 raise power 3/5
Step-by-step explanation:
Someone please help me. ASAP
Answer:
x=2
Step-by-step explanation:
4x+6=x+12
-x -x
3x+6=12
-6 -6
3x=6
/3 /3
x=2
Answer:
x=2
Step-by-step explanation:
4x+6 = x+12
Subtract x from each side
4x-x +6 =x-x+12
3x +6 = 12
Subtract 6 from each side
3x+6-6=12-6
3x = 6
Divide each side by 3
3x/3 =6/3
x =2
The triangle has side lengths 7, 10, and 12. Is it a right triangle? Explain your reasoning.
Answer: it is not a right triangle
12^2=7^2+10^2
144=49+100
144=149
To prove this we try the pitagor teorem which the largest side is the hypotenuse
It is not a right triangle.
We have given that,
The triangle has side lengths 7, 10, and 12.
What is the Pythagoraus theorem?
[tex]hypotenous^2=side^2+side^2[/tex]
12^2=7^2+10^2
144=49+100
144=149
The pitagor theorem which the largest side is the hypotenuse.
To learn more about the triangle visit:
https://brainly.com/question/2217700
#SPJ2
type an equation for the line shown in the graph
you are mountain climbing with a friend. you need to reach a ledge that is 22 feet above you
Answer:
x+22
Step-by-step explanation:
you don't know what elevation you are on and you need to go up 22 feet more to the ledge above you.
What is the equation of 4over 3 equal Y
Answer:
3y = 4 or 3y - 4 =0
Step-by-step explanation:
[tex] \frac{4}{3} = y \\ 4 = 3y \\ 3y - 4 = 0 \\ [/tex]
3) Factor x2 – 8x – 9.
Check
Answer:
(x-9)(x+1)
Step-by-step explanation:
factor using the box method or quadratic formula.
Answer:
(x - 9)(x + 1)
Step-by-step explanation:
Given
x² - 8x - 9
Consider the factors of the constant term (- 9) which sum to give the coefficient of the x- term (- 8)
The factors are - 9 and + 1, since
- 9 × 1 = - 9 and - 9 + 1 = - 8, thus
x² - 8x - 9 = (x - 9)(x + 1)
What was the percentage decrease in the number of accidents between 1950 and 1976?
Answer:
the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)
What is the value of the expression (2 Superscript 4 Baseline) squared?
Answer:
{(2^4) }^2
=16^2
= 256
................
Answer:
256
Step-by-step explanation:
these 2 questions please will mark brainly
Answer:
[tex]28\sqrt{2}[/tex]
Step-by-step explanation:
To answer this question, you must split 98 into 2 factors:
98
2 49
7 7
2 and 49 can be multiplied to get 98. 49 is also a perfect square, meaning the factors are going to be the same number, which is 7. Since there are two 7's you take that out of the radical, like so:
[tex](7)4\sqrt{2}[/tex]
[tex]28\sqrt{2}[/tex]
The equation of a circle is given below.
x^{2}+(y+4)^{2} = 64x
2
+(y+4)
2
=64x, squared, plus, left parenthesis, y, plus, 4, right parenthesis, squared, equals, 64
What is its center?
((left parenthesis
,,comma
))right parenthesis
What is its radius?
If necessary, round your answer to two decimal places.
units
Answer:
(h,k) = (32,-4)
r = 32
Step-by-step explanation:
The general equation for a circle is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex] (1)
where (h,k) is the center of the circle and r is the radius.
You have the following equation:
[tex]x^2+(y+4)^2=64x[/tex] (2)
You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:
2b = 64
b = 32
Then, you have to sum 32^2 and also subtract the same number in the expression (2):
[tex]x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2[/tex]
you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32
Furthermore, the center of the circle is (h,k) = (32,-4)
the rational number of 2 x -7/4
Ronny is selling coffee mugs for $3.00. So far, he has earned $228.00. Ronny needs to earn more than $372.00 in order to meet his sales goal. How many more coffee mugs, x, does Ronny need to sell in order to reach his sales goal?
Answer:
He needs to sell at least 49 mugs.
Step-by-step explanation:
Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.
Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:
→ 3x > 144, x represents the number of coffee mugs
→ x > 48
→ x must be at least 49
Find the area of a rectangle with the given base and height 9ft , 3in
Answer:
324 in^2
Step-by-step explanation:
If you transfer the 9 ft to inches you get 108 in
108x3=324
Answer:
21
Step-by-step explanation: 9 + 9 = 18 , 3 + 3 = 6 , 18 + 6 = 21.
Zech deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. What was the amount in the account at the end of 10 years? Round to the nearest dollar.
Answer:
$6769
Step-by-step explanation:
To calculate the amount, we make use of the compound interest formula
A = P(1+r/n)^nt
where A is the amount which we are to calculate
P is the amount deposited which is $5,600
r is the rate which is 1.9% or 1.9/100 = 0.019
t is the number of years = 10
n is the number of times the interest is compounded per year which is 4(quarterly means every 3 months and there are 4 quarters in a year)
Plugging all these values, we have
A = 5,600(1+ 0.019/4)^40
A = 5,600( 1 + 0.00475)^40
A = 5,600(1.00475)^40
A = $6768.75
Which is $6769 to the nearest dollars
if 2x+15= 30
then what is x?
Answer:
x = 15/2
Step-by-step explanation:
2x + 15 = 30
2x = 15
x = 15/2 or 7.5
Answer:
7.5
Step-by-step explanation:
2x+15=30
2x=30-15
2x=15
x=7.5
