Answer:
Part I:
0.6%
Part II
The total number of payment the 5 year loan Brenda is being offered requires 60 payments
Part III
The largest amount Brenda can afford to borrow is approximately $28,398.103
Part IV:
Brenda can afford the pickup truck
Part V:
Brenda cannot afford the SUV
Step-by-step explanation:
Part I:
The amount of monthly payment Brenda can afford = $565
The cost of the pickup truck = $28,100
The cost of an SUV = $28,500
The number of years loan she is offered = 5 year
The Annual Percentage Rate (APR) of the loan = 7.2%
The rate at which the interest is compounded = Monthly
Part I Given that the interest rate is compounded monthly, we have the periodic interest rate for an APR of 7.2% compounded monthly = 7.2/12 = 0.6%
∴ The periodic interest rate = 0.6%
Part II
For a 5 year loan with month payment, we have;
The number of month per year = 12 months
∴ The number of payment per year = 12
The total number of payment the 5 year loan Brenda is being offered requires 5 × 12 = 60 payments
Part III The total amount Brenda can afford to pay in 5 years, is given by the formula for monthly payment on loan as follows;
[tex]A = P \times\dfrac{r \times \left (1 + r \right )^n}{\left (1 + r \right )^n - 1}[/tex]
Where;
A = The amount (she can) payed monthly = $565
r = The periodic interest rate (APR/12) = 7.2%/12 = 0.6%/12 = 0.006
t = The number of time period for the loan duration = 5 years
n = The number of payments made = 12 × 5 = 60 payment
P = The amount (she can) borrowed as loan
Plugging in the values gives;
[tex]565 = P \times\dfrac{0.006 \times \left (1 + 0.006 \right )^{60}}{\left (1 + 0.006 \right )^{60} - 1} \approx P \times 1.9896 \times 10^{-2}[/tex]
[tex]P = \dfrac{565}{1.9896 \times 10^{-2}} \approx 28398.103[/tex]
∴ The largest amount Brenda can borrow as loan = P ≈ $28,398.103
Part IV: The cost of the pickup truck = $28,100 which is less than the largest amount Brenda can borrow as loan which is approximately $28,398.103, therefore, Brenda can afford the pickup truck
Part V: The cost of the SUV = $28,500 which is more than the largest amount Brenda can borrow as loan which is approximately $28,398.103, therefore, Brenda cannot afford the SUV.
3. It takes 3 cups of flour to make
24 cookies. How many cups of flour
are needed to make 60 cookies?
a) 1.2 cups
b) 0.83 cups
c) 7.5 cups
d) 13 cups
Answer:
My guess would have to be d
Step-by-step explanation:
How many cups of flour are needed to make 60 cookies.
Solution:[tex]60 \times 3 \div 24[/tex]
[tex] \frac{5 \times 3}{2} [/tex]
[tex] = \frac{15}{2} [/tex]
[tex] = 7 \frac{1}{2} or[/tex] [tex]\boxed{\sf{7.5}}[/tex]
[tex]\large\boxed{\sf{Answer= Option\: C}}[/tex]
Therefore, 7.5 cups of flour are required to make 60 cookies.
Please help me on these two problems I will make you as brainiest:
If a can of corn costs $2.40 for 16 oz, what is the cost per ounce?
a) .16 cents
b) .15 cents
c) .14 cents
d) .13 cents
If one box of Captain Kuyper's Sugar Encrusted Honey Bite Glow-In-The-Dark Cereal costs $3.15 for 15 oz, what is the cost per ounce?
a) .20 cents
b) .21 cents
c) .30 cents
d) .02 cents
Answer:
1)B
2)B
Step-by-step explanation:
Divide the price by oz. and you get this answer
Find the value of x in the triangle shown below
X = ?
Answer:
44°
Step-by-step explanation:
103+33+x=180
136+x=180
x=180-136
x=44°
hope this helps
Plz mark as brainliest
y= 1/2x-4 what is the slope
Answer:
1/2
Step-by-step explanation:
x means the slope so 1/2x is the slope
Answer:
The slope is 1/2 and the y intercept is -4. Hope this helps!
I need help with #6 & #7 !!
Answer:
6 is b, 7 is c
Step-by-step explanation:
Answer:
#6 wants you to find out what answer from the 4 expressions gives you the least or smallest number. For #7, you need to follow PEMDAS in order to get the right answer.
Step-by-step explanation:
#6, the answers you get are 8, -9, -3, and 9. You need to choose the smallest number. Negative numbers are smaller than positive numbers, so you can immediately eliminate 8 and 9. You have to be careful when comparing negative numbers because the larger negative number is actually smaller than the smaller negative number since it is further away from the zero. So, negative -9 would be smaller than -3 in this case.
#7, I would divide the -720/12 first. This results in -60. Then, divide the -60 by -10. This gives you an answer of positive 6.
ANSWERS:
#6 : B
#7 : C
HELP ME PLS !!!!! HELP ME
Answer:
Correct Option: [tex]\angle XVW[/tex] and [tex]\angle YVX[/tex] are the same size
Step-by-step explanation:
Two angles are adjacent when they have a common side, a common vertex, and don't overlap.
The image shows the following angles are adjacent:
YVZ and YVX
YVZ and YVW
YVX and XVW
Furthermore, two angles are said to be linear if they are adjacent angles formed by two intersecting lines.
The first, fourth, and fifth options are true as shown above, which discards as true the second option.
The only probable false option is that XVW and YVX are the same size. They certainly could be, but we have to evidence of that, thus this option is considered false.
Correct Option: [tex]\angle XVW[/tex] and [tex]\angle YVX[/tex] are the same size
12) Solve 5x - 9 = 2x + 6.
Answer:
x would equal 5.
ILL MARK BRAINLIEST!
Given the equation 3/4(x-5)=1/5x-5/6what LCM would you use to clear the fractions?
A.answer not given
B.120
C.24
D.30
E.240
Answer:
a
Step-by-step explanation:
the answer is 60 because it is the lcm
Pls help this is for percentage
time to check your supplies.
You started the trail with 550lbs. of food.
You now have 332lbs. of food.
What percentage of your starting
amount do you have left?
Percentage (%) of Food Left
x% of x
You now have 332lbs. of food.
What percentage of your starting
amount do you have left?
Percentage (%) of Food Left
x% of x
ok
What is the piecewise function of h(6)
Answer:
we need more info
Step-by-step explanation:
We use piecewise functions to describe situations in which a rule or relationship changes as the input value crosses certain “boundaries.” For example, we often encounter situations in business for which the cost per piece of a certain item is discounted once the number ordered exceeds a certain value.
You deposit $300 in a savings account. The account earns 2.5% annual simple interest. What is the account balance after 2 years?
Answer:
15$ would be earned
Step-by-step explanation:
This is because 2.5% of 300 is 7.5 than multiply it by 2 and you get 15.
Picture provided pls solve
ZA and ZB are complementary angles. If mZA = (6x + 22)° and m
(7x + 16)°, then find the measure of ZB.
ZB=
10% of 5 of what number?
Answer:
200
Step-by-step explanation:
Simplify 7+4•5
55
27
16
6
Answer:
I think the answer is 27
Answer:
27
Step-by-step explanation:
well use PEMDAS
so the answer should be 27
Caculate the unit rate. A ball drops 160 feet in 4
seconds. How many feet dropped per second?
Answer:40ft/second
Step-by-step explanation:
Divide 160ft by 4sec to find the unit rate.
Answer:
40
Step-by-step explanation:
You would divide 160 by 4 to get the number of feet dropped in one second. 160 divided by 4 is 40
Hope this helps! Good luck :)
The Library of Congress in Washington D.C. Is considered the largest library in the world. They often receive boxes of books to be added to their collection. Since books can be quite heavy, they aren't shipped in big boxes. If, on average, each box contains about 8 books, how many books are received by the library in 6 boxes, 10 boxes, or n boxes? Use the space below to tell me how many books are received in: 6 boxes = 10 boxes = n boxes = (Hint: Write an equation!)
Answer: The number of books in 6 boxes = 48
The number of books in 10 boxes = 80
The number of books in n boxes = 8n
Step-by-step explanation:
Given : Each box has contains about 8 books.
Total books : (Number of books in each box) x (Numbers of boxes).
Then, the number of books in 6 boxes = 8 x 6 = 48
Similarly,
The number of books in 10 boxes = 8 x 10 = 80
The number of books in n boxes = 8n
Hence, The number of books in 6 boxes = 48
The number of books in 10 boxes = 80
The number of books in n boxes = 8n
Find the slope of the line passing through the pair of points. (−4, −5) and (5, 4) A. −1 B. 1 C. 9 D. −9
Answer: A. -1
Explanation: 4-5/5-4= -1/1 = -1
A line passes through the points (2, -1) and (9,3). What is the slope of the line?
Answer:
[tex] \huge{ \boxed{ \tt{ \frac{4}{7} }}}[/tex]
Step-by-step explanation:
Let the points be A and B
[tex] \sf{A(2 \: , - 1) \longrightarrow \: (x1 \:, y1)}[/tex]
[tex] \sf{B(9 \: ,3 \: ) \longrightarrow \: (x2 \:, y2)}[/tex]
[tex] \underline{ \text{Finding \: the \: slope}}: [/tex]
[tex] \boxed{ \rm{Slope \: ( \: m \: ) \: = \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex] \rm{Slope = \frac{3 - ( - 1)}{9 - 2} }[/tex]
[tex] \rm{Slope = \frac{3 + 1}{9 - 2}} [/tex]
[tex] \rm{Slope = \boxed{ \rm \frac{4}{7} }}[/tex]
Hope I helped!
Best regards! :D
~TheAnimeGirl
help me answer please.
Answer:
D. 112°
General Formulas and Concepts:
A line is always 180°.
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Set up equation
m∠ABD + m∠DBC = m∠ABC
(3x + 10) + (2x) = 180°
Step 2: Solve for x
Combine like terms: 5x + 10 = 180Subtract 10 on both sides: 5x = 170Divide 5 on both sides: x = 34Step 3: Find m∠ABD
m∠ABD = 3x + 10
Substitute: m∠ABD = 3(34) + 10Multiply: m∠ABD = 102 + 10Add: m∠ABD = 112°7) If every time Tomas eats a cookie it gives him 5 points and every time Miguel eats a
cookie it gives him 15 points. When are they going to have the same amount of points?
30 points is the value needed to have the same amount of points . Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
What is meant by mathematical expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation .The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.
Monomial Expression is one of the three primary categories of algebraic expressions. Binary Expression Expression of a polynomial.
In the mathematics curriculum and in mathematics in general, algebraic expressions are crucial.
Given ,
Tomas eats a cookie =5 points
Miguel eats a cookie = 15
Same point=15*2
= 30 points
Therefore 30 points is the value needed to have the same amount of points .
To learn more about Mathematical expression refer to:
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A class ordered six 8-slice pizzas. Each student ate 1 1/2 slices and no pizza was left over. How many students were there?
Answer:
There are 32 students.
Step-by-step explanation:
If there are six 8-slice pizzas, that means that there is 48 slices total. If each student ate 1 1/2 slices, you can divide 48 and 1.5, and you will get 32. That is the number of students in the class. Hope this helps!
a water balloon was thrown from the window. The height of the water balloon over time can be modeled by the function y=-16square2+160x+50
The maximum height of the water balloon : 450 m
Further explanationQuadratic function is a function that has the term x²
The quadratic function forms a parabolic curve
The general formula is
f (x) = ax² + bx + c
where a, b, and c are real numbers and a ≠ 0.
The parabolic curve can be opened up or down determined from the value of a. If a is positive, the parabolic curve opens up and has a minimum value. If a is negative, the parabolic curve opens down and has a maximum value
So the maximum is if a <0 and the minimum if a> 0.
The formula for finding the coordinates of the maximum and minimum points of the quadratic function is the same.
The maximum / minimum point of the quadratic function is
[tex]\rm -\dfrac{b}{2a},-\dfrac{D}{4a}[/tex]
Where
D = b²-4ac
The function h (t) = -16x²+160x+50
so the value of a <0, then it has a maximum value
Because we are looking for maximum height, then we find the value of the y coordinate, with the formula
[tex]\rm -\dfrac{D}{4a}[/tex]
Questions we might add :
What was the maximum height of the water balloon after it was thrown?
We can also use the first derivative of the above function to find the maximum value
[tex]\tt h'=0=-32x+160\\\\-32x=-160\\\\x=5[/tex]
input to function :
[tex]\tt h=-16x^2+160x+50\\\\h=-16(5^2)+160(5)+50\\\\h=-400+800+50=\boxed{\bold{450~m}}[/tex]
y=4x-9
Graph from slope-inercept form
Answer:
Here is the graph for y = 4x-9
Step-by-step explanation:
Keep in mind this graph goes by intervals of 5 in order to picture the whole graph
Pls I need the answer
Answer:
b
Step-by-step explanation:
slope isn't constant, but still increasing
Is(1, 6)a solution to the inequality y < 4x + 2?
Answer:
yes, (1,6) is a solution to the inequality y<4x+2.
Step-by-step explanation:
Looking at the equation we can see that the slope is 4 and the y intercept is 2.
Now we will use the slope that is comprised of the rise over the run which is [tex]\frac{rise}{run}[/tex]
The slope is 4 this means that [tex]\frac{rise}{run}[/tex] = [tex]\frac{4}{1}[/tex] and this shows us that the rise is 4 and the run is 1, so starting at (0,2) you go up 4 and over 1 so our next coordinate would be (1,6)
so the answer is yes, (1,6) is a solution to the inequality y<4x+2.
Hope this helps!
find a ratio that equivalent to 3 to 8
Answer:
6 to 8
Step-by-step explanation:
3 and 8 multiplied by two will give an equivalent ratio
The ratio shows how many times one value is contained in another value.
The ratios that are equivalent to 3 to 8 are:
9/24, 12/32, and 15/40.
What is a ratio?The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
3:8
= 3/8
We can have many ratios that is equivalent to 3:8
9/24 = (3 x 3) / (3 x 8) = 3/8
12/32 = (4 x 3) / (4 x 8) = 3/8
15/40 = (5 x 3) / (5 x 8) = 3/8
Thus,
The ratios that are equivalent to 3 to 8 are:
9/24, 12/32, and 15/40.
Learn more about ratios here:
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5χ= 140
Ο Α. x= 28
Ο Ο Ο
Ο Β. x= 135
Ο C. χ= 14
Ο D. x= 700
9514 1404 393
Answer:
A. x = 28
Step-by-step explanation:
Divide both sides of the equation by the coefficient of x.
[tex]5x=140\\\\\dfrac{5x}{5}=\dfrac{140}{5}\\\\\boxed{x=28}[/tex]
five decreased by twice a number
PLS HELP PLS ASAP
Answer:
5-2x
i took this in my algebra class
f(z) = 7 +9.5
for z = 19
Answer:
16.5
Step-by-step explanation:
Answer:
16.5
Step-by-step explanation:
Write the equation of the line that passes through the given points. (2,9.5) and (0,0.5)
Answer:
[tex]y = \frac{9}{2}(x) + \frac{1}{2}[/tex]
Step-by-step explanation:
Linear equations can be written as
[tex]y = mx + b[/tex]
m is [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
b is the y intercept
[tex]\frac{9.5 - 0.5}{2-0}\\ =\frac{9}{2} \\y = \frac{9}{2}x+b\\\frac{1}{2}= \frac{9}{2}(0) + b\\ b = 1/2[/tex]
plug in to verify
[tex]9.5 = 9/2(x) + 1/2\\\\9.5 = 9/2(2) + 1/2\\9.5 = 9 + 1/2\\9.5 = 9.5[/tex]
it checks out
