Answer:
An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited or borrowed. The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, the compounding frequency, and the length of time over which it is lent, deposited or borrowed.
Bob is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.
Company A charges $76 and allows unlimited mileage.
Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
m = the number of miles driven
Company A cost = 76
[they charge $76 for unlimited mileage, so they don't charge by the miles driven]
Company B cost = 0.70m + 55
[they charge an initial fee of $55 plus $0.70 per mile(m)]
For what mileages will Company A charge less than Company B?
Company A cost < Company B cost -----> 76 < 0.70m + 55
To solve for m, isolate/get the variable "m" by itself in the inequality:
76 < 0.70m + 55 Subtract 55 on both sides
76 - 55 < 0.70m + 55 - 55
21 < 0.70m Divide 0.70 on both sides to get "m" by itself
[tex]\frac{21}{0.70} <\frac{0.70m}{0.70}[/tex]
30 < m [m is any number greater than 30]
Company A will charge less than Company B for mileages over/greater than 30.
Final answer:
Company A will charge less than Company B when more than 30 miles are driven; the inequality used to determine this is 76 < 55 + 0.70m, and after solving, it shows that m > 30.
Explanation:
To find out for what mileages Company A will charge less than Company B, we need to set up an inequality based on the given price structures for both companies:
Company A charges a flat rate of $76 per day, regardless of mileage.
Company B charges an initial fee of $55 plus $0.70 per mile driven.
The inequality to represent this scenario is:
76 < 55 + 0.70m
To solve for m (the number of miles driven), we subtract 55 from both sides:
21 < 0.70m
Then, divide both sides by 0.70 to isolate m:
m > 30
So, Company A will charge less than Company B when Bob drives more than 30 miles.
What is the value of y? PLEASE HELP ASAP!
Answer:
y = 40 degrees can i have branliest
Step-by-step explanation:
All angles in a triangle add up to 180
180 - 50 = 130
3y + 10 = 130
3y = 120
y = 40
Answer:
c
Step-by-step explanation:
Help me please!!....
Answer:
J
Step-by-step explanation:
As you can see, the peak occurs at (2,6). That means that all values below 6 are in the range.
I need help with question 5:) anything is appreciated:)))
Answer:
[tex]y=-150x+1600[/tex]
Step-by-step explanation:
Linear Equation:
[tex]$y=mx+b$[/tex]
[tex]f(x)=mx+b[/tex]
Consider:
The pool is full when the time is zero:
[tex]1600=m(0)+1600[/tex]
It is emptied (-) in the rate 150 gallons every hour.
[tex]f(x)=-150x+b[/tex]
[tex]f(x)=-150x+1600[/tex]
[tex]y=-150x+1600[/tex]
A town has a population of 17000 and grows at 3% every year. To the nearest year, how long will it be until the population will reach 20400
Answer:
The population will reach 20,400 after 6 years.
Step-by-step explanation:
Exponential function:
[tex]y(t)=y_0(1+r)^t[/tex]
y(t)= Population after t years
[tex]y_0[/tex] = initial population
r= rate of grow
t= time.
A town has a population of 17,000 and grows at a rate 3% every year.
y(t)= 20,400, [tex]y_0[/tex] = 17,000, r=3%=0.03, t=?
[tex]20,400=17,000(1+0.03)^t[/tex]
[tex]\Rightarrow \frac{20,400}{17,000}=(1.03)^t[/tex]
[tex]\Rightarrow \frac{102}{85}=(1.03)^t[/tex]
Taking ln function both sides
[tex]\Rightarrow ln|\frac{102}{85}|=ln|(1.03)^t|[/tex]
[tex]\Rightarrow ln|\frac{102}{85}|=t\ ln|(1.03)|[/tex]
[tex]\Rightarrow t=\frac{ln|\frac{102}{85}|}{\ ln|(1.03)|}[/tex]
⇒ t = 6 year.
The population will reach 20,400 after 6 years.
Answer:
6
Step-by-step explanation:
deltamath
What is the total area of the following composite figure? Please answer ASAP for #34points
54.28 ft 2
73.12 ft 2
60.56 ft 2
98.24 ft 2
60.56 square feet, the area of the semicircles equates to 12.56 and the rectangle area is 48 so all you have to do is add them
Answer:
It is 60.56 ft2
Step-by-step explanation:
Hope this helps
The diagonal of a square measures 16 inches. What is the length of the sides?
Answer:
The length of the sides is 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Since the diagonal divide a square into 2 45-45-90 triangles:
The diagonal is the hypotenuse of the triangle
Divide 16 by [tex]\sqrt{2}[/tex] and you will get 8[tex]\sqrt{2}[/tex].
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What is the area of the trapezoid? [A = 1/2(b1 + b2)h]
A) 1249.5 sq cm
B) 162.75 sq cm
C) 105 sq cm
D) 38.75 sq cm
We can see that b1 = 18, b2 = 24, and h = 5
So, we can just substitute these in.
A = 1/2(18 + 24)5
A = 1/2 * 42 * 5
A = 21 * 5
A = 105
So, the answer is C. 105 sq cm
Answer:
105
Step-by-step explanation:
you just have to plug in your variables
if 48 is 92 percent than what is 100 percent
Answer:
Approximately 53
Step-by-step explanation:
92% of 53 is 48.76, there is no way to use a whole number and get exactly 48, which is why it is approximately
hope this helps
stay safe:)
brainliest is appreciated :)))))
suppose for everyone cup of rice I add 2 3/4 cups of water. If I add 2 1/2 cups of rice, how much cups of water do I add?
Answer:
6 7/8
Step-by-step explanation:
Since 1 cup of rice is added to 2 3/4 water
We are to determine the Amount of water to be to 2 1/2 cups of rice
Let the unknown number for water be x
So let's solve
1 cup of rice=11/4 water
5/2 cup of rice=x water
Cross multiply
x=5/2×11/4
x=55/8
X=6 7/8
Therefore,6 7/8 water is needed
Use the distributive property to factor the expression below.
-15x²y² + 25xy²
[tex]-15x^2y^2+25xy^2=5xy^2(-3x+5)\:or\:-5xy^2(3x-5)[/tex]
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
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put the following equation of a line into slope-intercept form, simplifying all fractions. 4x + 3y = -3
The slope-intercept form of the equation 4x + 3y = -3 is y = -4/3x - 1. The slope of the line is -4/3 and the y-intercept is -1.
Explanation:The question asks to convert the equation 4x + 3y = -3 into slope-intercept form, and simplify all fractions. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
To transform the given equation into this form, we need to express it in terms of y. Here are the steps:
Subtract both sides of the equation by 4x, we get: 3y = -4x -3.Next, divide each term by 3 to isolate y: y = -4/3x - 1. Therefore, the slope-intercept form of the equation is y = -4/3x - 1.In this equation, the term -4/3 is the slope and the -1 is the y-intercept. That means the line decreases for every 4 units in the y-axis when it increases 3 units in the x-axis.
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The average price of a gallon of milk is $3.31. If the price increases .88% each year , how much will a gallon of milk cost in 20 years?
Answer:
$3.94
Step-by-step explanation:
You will need to use the compound interest formula for this.
[tex]P(1+\frac{r}{n} )^{nt}[/tex]
P = initial balance
r = interest rate
n = number of times compounded annually
t = time
Your equation will look like this:
[tex]3.31(1+\frac{.0088}{1} )^{20}[/tex] = 3.94
Please help me ASAP! I will mark you as the best answer! I need the answers to the empty boxes
Answer:
4k=-2k+6-18
6k= -12
Step-by-step explanation:
Answer:
- 12
6 12
-2
Step-by-step explanation:
They add 6 to both sides so 4k=2-12
then add 2k to both side and get 6k=-12
divide by 6 and get k=-2
What is the arclength of PQ
Given:
θ = 54°
Radius = 10 in
To find:
The arc length of PQ
Solution:
Arc length formula:
[tex]$\text{Arc length}=2 \pi r\left(\frac{\theta}{360^\circ}\right)[/tex]
[tex]$\text{Arc length}=2 \times 3.14 \times 10\left(\frac{54^\circ}{360^\circ}\right)[/tex]
= 9.42 in
The arc length of PQ is 9.42 inches.
1. Determine whether Point D lies on the circle whose center is Point B and which contains the Point C. Show your answer algebraically and graphically. Point D (1, ); Point B (0, 0); Point C (0, 2) Point D (3,1); Point B (-1,-2); Point C (4, -2) 2. A scalene triangle is a triangle that has different side lengths. Create your own scalene triangle. Use the vertices of your triangle and the distance formula to support your answer. 3. Use the set of vertices to complete steps a-e. Quadrilateral EFGH has the vertices E(1, 3), F(2, 6), G(4, 4), and H(5, 7). Find the following information for each set of points. Graph the vertices to form quadrilateral EFGH. Determine whether the quadrilateral is a trapezoid, parallelogram, rhombus, rectangle or square. Support your conclusion mathematically Find the point of intersection for the diagonals. Calculate the slope of the diagonals. Are the diagonals perpendicular? Find the perimeter of the quadrilateral.
Answer:
hope i helped
Step-by-step explanation:
Point D (3,1); Point B (-1,-2); Point C (4, -2)
Point D lies on the circle whose center is Point B and which contains the Point C if the distance:
BD = BC
BD^2 = BC^2
(- 1 - 3)^2 + (- 2 - 1)^2 = (4 - (-1))^2 + (-2 - (-2))^2
16 + 9 = 25
25 = 25
Follows, point D lies on the circle with radii 5.
To solve graphically we first need to write the equation of the circle whose center is Point B and which contains the Point C:
(x - (-1))^2 + (y - (-2))^2 = 5^2
(x + 1)^2 + (y + 2)^2 = 5^2
It took Rachel 9.3 minutes to run a mile. It took Chris 0.9 times as long as it took Rachel to run the same distance. How long did it take Chris to run a mile?
Answer:
8.37 minutes
Step-by-step explanation:
The key word times helps us know what operation we're doing, which is multiplication. Multiply 9.3 by 0.9 to get your answer.
What is the first step in evaluating the expression 3 × (5 + 4) – 27 ÷ 9?
Step-by-step explanation:
According to BODMAS
the first way to evaluate the expression is starting from brackets.,
=3 * 9 -27 / 9
= 3 * 9 - 3
= 27- 3
=24
Answer:
Parenthesis.
Step-by-step explanation:
Parenthesis
Exponent
Multiply or
Divide
Add or
Subtract
PEMDAS is the order to solve expressions like so.
A trapezoid has vertices A(-5, 4), B(-3, 2), C(-7, -2).
and D(-7, 2). It is transformed according to the rule ry-axis o
T(-2.3).
What are the coordinates of C"?
(-9,5)
(-9, -1)
(5, 1)
(9, 1)
Answer:
d-(9,1)
Step-by-step explanation:
Answer:
(9,1)
Step-by-step explanation:
correct on edge
15. f(x) = (x - 2)
Find f(-2)
Answer:
f (-2)=(-2)-2
= -4
By putting value of x= -2 in f (x)
5p coins weigh approximatly 3g wat would be the weight of £5 worth of 5p coins
Answer:
3g
Step-by-step explanation:
Since 5p=3g
5p=x
So let's solve by cross multiplying
5px=3g×5p
5px=15gp
Divide both sides by 5p
x=3g
Therefore the final answer is 3g
The radius of a circle is 7m. Find the diameter. (Do not include unit)
Answer:
14
Step-by-step explanation:
The diameter of a circle is twice the radius
d = 2*r
d = 2*7
d =14 m
Answer:
diameter = 14
Step-by-step explanation:
given that the radius of a circle = 7m
diameter = ?
recall that the formulae for finding the diamer = 2 x radius
diameter = 2 x 7
diameter = 14
The slope of (9,3), (19,-17)
Please can someone answer fast this is due in 5 minutes!!!!
I don’t know bruv but I hope this somewhat helps. I used a websti called dezmos.
You work 40 hours a week at a factory and make $2.00 per piece you create. It takes you
1 hour to create 5 pieces, how much money do you make per week?
I have to show work for the problem.
Answer:
400
Step-by-step explanation:
1 hour = 5 pieces • $2
1 hour = $10 bcas each piece you make is $2
40 hours = $400 because you get $10 per week
You earn $400 per week
Answer:
$400
Step-by-step explanation:
S x H = (1 x 5 x 2) x 40
S x H = (1 x 10) x 40
S x H = 10 x 40
S = 400
S = $400 H = 40
Solve the system of equations
5x + 3y = -2
3x + 2y = -1
Answer:
Step-by-step explanation:
What number makes the equation true? Enter the answer in the box.
24-
=4
Put all the division problems that have an estimated quotient of 12 into the box.
8/0.95
18/2.2
47.6/3.9
10.6/1.89
71.9/6.5
123.4/9.2
157.4/16.4
The division problems 123.4/9.2 and 71.9/6.5 have an estimated quotient of 12 by considering 123.4 as 120, 9.2 as 10, 71.9 as 70, and 6.5 as 6.
Explanation:The division problems with an estimated quotient of around 12 will be the ones where you divide a number close to 120 by 10. In this case, it comes to be 123.4/9.2 and 71.9/6.5. To estimate the quotient, you can consider 123.4 as approximately 120 and 9.2 as approximately 10. Similarly, 71.9 can be considered as approximately 70 and 6.5 as approximately 6. When you divide these estimate numbers, both quotients are close to 12.
Estimation is a useful skill in Mathematics that allows you to simplify complex problems and get close to the exact answer. It's particularly helpful in situations where you only need a rough estimate and not the exact figure.
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Point A is at (-7,-7) and point M is at (-6,-1). Point M is the midpoint of point A and point B. What are the coordinates of point B?
Step-by-step explanation:
M is the mid point of AB
here given A ( - 7 , -7) and M ( -6 , -1) Let the coordinates of point B be ( x1, y1)
Now
( - 6 , -1 ) = {( x1 - 7)/ 2 , ( y1 - 7) / 2}
Equating
-6 = x1 -7 -1 = y1 - 7
2. 2
-12 = x1 - 7. -2 = y1 - 7
x1 = -12 +7. y1 = -2 +7
Therefore x1 = - 5. Therefore y1 = 5
Therefore the coordinates of B is ( -5 , 5)
Answer:
the coordinates of B is ( -5 , 5)
Step-by-step explanation:
WILL MARK BRAINLIEST IF ANSWERED ASAP PLEASE I BEG OF YOU PLZ ANSWER QUICKLY!!! Which number line shows the graph of x greater-than-or-equal-to 11?
A number line going from 6 to 14. An open circle is at 11. Everything to the right of the circle is shaded.
A number line going from 6 to 14. A closed circle is at 11. Everything to the right of the circle is shaded.
A number line going from 6 to 14. An open circle is at 11. Everything to the left of the circle is shaded.
A number line going from 6 to 14. A closed circle is at 11. Everything to the left of the circle is shaded.
Answer:
The second one!:
A number line going from 6 to 14. A closed circle is at 11. Everything to the right of the circle is shaded.
Step-by-step explanation:
The one that has a line going towards 14 from 11. The circle is closed (filled in.)
Please mark brainliest! Hope this helps!
Answer:
????????????????????
the seccond one
how do you write 2/16 as a percent?
Answer:
[tex]\huge\boxed{\dfrac{2}{16}=12.5\%}[/tex]
Step-by-step explanation:
[tex]p\%=\dfrac{p}{100}\to p=p\cdot100\%\\\\\dfrac{2}{16}=\dfrac{2:2}{16:2}=\dfrac{1}{8}\\\\\dfrac{1}{8}=\dfrac{1}{8}\cdot100\%=\dfrac{100}{8}\%=12.5\%\\\\\text{Other method.}\\\\\dfrac{1}{8}=\dfrac{1\cdot125}{8\cdot125}=\dfrac{125}{1000}=\dfrac{125:10}{1000:10}=\dfrac{12.5}{100}=12.5\%[/tex]