Answer:
The interest rate is 0.0425%
Step-by-step explanation:
Mathematically;
I = PRT/100
From the question, I in this context is the difference between how much they have paid and the amount borrowed
Mathematically, this is ; 364,000-160,000 = 204,000
This is the interest
R is the rate = ?
T = 30 years
P is the amount borrowed = 160,000
thus, we have
204,000 = (160,000 * R * 30)/100
2040 = 4800000R
R = 2040/4800000
R = 0.000425 which is 0.0425%
2. Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and large
cups for $2.50. If Ashley sold a total of 155 cups of lemonade for $265, how many cups of each
type did she sell?
Answer:
[tex]\boxed {\boxed {\sf 98 \ Small \ Cups}}\\\\\boxed {\boxed {\sf 57 \ Large \ Cups}}[/tex]
Step-by-step explanation:
Let's make a system of equations.
First, define the variables.
Let s= small cups and g= large cups
Next, make 2 equations. 1 for the money and 1 for the number of cups.
Money
A small cup costs 1.25 and a large cup costs 2.50. The total money made is 265. 1.25s+2.50g=265Number
A total of 155 cups of lemonade were sold. The sum of small cups and large cups sold will equal 155. s+g=155Here is our system of equations:
[tex]1.25s+2.50g=265 \\s+g=155[/tex]
Now, solve. Let's isolate a variable in the 2nd equation, so we can plug it in after.
Subtract g from both sides of the equation. s+g=155 s+g-g=155-gs=155-gNow we know that s is equal to 155-g. We can substitute (155-g) in for s in the first equation.
[tex]1.25s +2.50g=265[/tex]
[tex]1.25(155-g)+2.50g=265[/tex]
Distribute the 1.25
1.25(155-g)= (1.25*155)+ (1.25*-g)= 193.75-1.25g[tex]193.75-1.25g+2.50g=265[/tex]
Work to isolate the variable. Subtract 193.75 from both sides of the equation and combine like terms on the left.
[tex]193.75-1.25g+2.50g=265-193.75[/tex] (Subtract 193.75)
[tex]-1.25g+2.50g=265-193.75[/tex]
[tex]1.25g=71.25[/tex] (Combine like terms).
1.25 and g are being multiplied. The inverse of multiplication is division. Divide both sides by 1.25
[tex]1.25g/1.25=71.25/1.25\\g=71.25/1.25\\g=57[/tex]
Now we know that 57 large cups were sold. Plug 57 back into the original second equation to find the small cups.
[tex]s+g=155[/tex]
[tex]s+57=155[/tex]
Subtract 57 from both sides of the equation to isolate the variable, s.
[tex]s+57-57=155-57\\s=155-57\\s=98[/tex]
Ashley sold 57 large cups and 98 small cups.
small cup she sold = x = 98
large cup she sold = y =57
confused on this plz help real quick
Im sorry i cant help but if it lets you try to copy paste the question onto whatever you can
50 POINTS PLUS BRAINLIEST
Answer:
New depth: 11.8 feet
Step-by-step explanation:
0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds
13 - 1.2 = 11.8
Hope this helps!
xoxo,
cafeology
Answer:
43.5 ft below the surface
Step-by-step explanation:
0.5*5= 2.5
-46+2.5= -43.5
Look at this angle, what are the sides?
Answer:
Both of the arrowed ones are the sides
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was x dollars?
Answer:
The value of the car will be x - (0.15)x after a year.
Step-by-step explanation:
The car was 15% more when it first came out, and the price went down by 15% after a year.
Therefore, to solve this problem, we need to multiply 0.15 by the initial cost, which will tell you how much the car price decreased.
Then, we need to subtract this amount from x, or the initial cost, in order to find how much the car will be worth after a year.
Therefore, the value of the car will be x - (0.15)x after a year.
Hope this helps! :D
(-15)(-4) help meeee
Answer:
+60
Step-by-step explanation:
This is the answer because you multiply -15 x -4 =60
because negative and negative make positive and =60
Hope this helps:)
pls mark brainly
Please help!!! Will mark Brainliest!
Step-by-step explanation:
(3x² / 2 )° = 96° [ being corresponding angles ]
3x² = 192°
x² = 192/3
x² = 64
x² = (+ 8) ²
Therefore x = +8 and -8
Hope it helps. :)
6th grade math i mark as brainliest
Step-by-step explanation:
Use PEMDAS
[tex]\begin{array}{ccc}214.8-(4^2+3)\times4&\\214.8-(16+3)\times4&Evaluate\\214.8-19\times4&Add\\214.8-76&Multiply\\138.8&Subtract\end{array}[/tex]
Help ASAP if you want brainliest
Answer:the first one for miles is d and the second one for minutes is b
Step-by-step explanation:
The football team is selling autographed school jerseys for a fund raiser. The tea buys 100 jerseys for $1400. Each autographed jersey is sold for $25. If the team wants to make a profit of $800, write an equation that shows how many autographed jerseys, J, they would have to sell. Please write the equation out
Answer:
25j=800 i may be wrong
Step-by-step explanation:
help me ill mark u brainliest xd
How to i do this help me with this pls
Answer:
21.98
Step-by-step explanation:
In △RST, TR ≅ ST, m∠T=142∘. Find m∠S.
Answer:
m∠S = 142°
Step-by-step explanation:
If TR ≅ ST, then...
T≅S
R≅T
Answer:
19Step-by-step explanation:
i need to find the points for a graph asap by finding the asymptote!!!
Answer:
y=0
Step-by-step explanation:
Exponential functions, always have a horizontal asymptote. A function of the form f(x) = a (b^x) + c always has a horizontal asymptote at y = c. In this case the function is
[tex]y=3^{x+2} \\\\We\ can\ rewrite\ it\ like\\\\\y=3^x.3^2\\y=9(3^x)[/tex]
so it doesn't have a +c which means the horizontal asymptote is y = c = 0
y = 0 is the horizontal asymptote
Input Output Which ordered pair needs to be removed in order for the mapping to represent a function? -3 4 O (-3, 4) O (-2, -1) O (1, -3) 0 2 -2 O (3,7) -3 →_1 3 7
Answer:
Acording to my brain the answer is (-2,-1) In other Words The correct answer is Option B
Step-by-step explanation:
God Bless :)
The ordered pair that needs to be removed in order for the mapping to represent a function is either: (-2, -1) or (2, -2).
What is a function?The term "function" refers to a relationship between a set of inputs and outputs. Just one output is connected to each input in a function, which connects inputs in that manner. Every function has a domain, co-domain, and range.
To represent a function, each input (x-value) must be associated with only one output (y-value). Therefore, in order for the mapping to represent a function, we need to remove any ordered pairs that violate this rule.
Looking at the options given, we can see that only one option has a repeated x-value:
O (-2, -1) and 0 (2, -2)
Both of these ordered pairs have the same x-value (either -2 or 2), but different y-values. This means that they violate the rule that each input must be associated with only one output.
Therefore, the ordered pair that needs to be removed in order for the mapping to represent a function is either:
O (-2, -1)
or
0 (2, -2)
We need to remove one of these ordered pairs to make the mapping a function.
To learn more about the function;
brainly.com/question/28303908
#SPJ7
ABCD is a parallelogram. If m
mario in mario 64 go: yayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayayawhat am i
Which of the table in the image below represents a function?
Answer:
table C
Step-by-step explanation:
function
* one object/ input must only have one image/ output
* only one-to-one relation and many-to-one relation is a fuction
table A
= one-to-many relation
= input 8 has two outputs ( -9 and -8 )
= not a function ❌
table B
= one-to-many relation
= input 7 has two outputs ( 12 and 13 )
= not a function ❌
table C
= one-to-one relation
= all input has only one output
= a fuction ✅
table D
= one-to-many relation
= input 10 has two outputs ( 0 and 4 )
= not a function ❌
What will be the output of this program? EXTRA POINTS!!!
(No Absurd Answers PLZ)
number = 5
less_than_zero = number < 0
if less_than_zero:
print(number)
number = number-10
less_than_zero = number < 0
if less_than_zero:
print(number)
A. 5
5
B. -5
C. 5
-5
D. Nothing will print
Answer:
Translated below: Answer is B.
Step-by-step explanation:
1. Set number to 5.
2. Check if it is less than 0.
3. It is not. Nothing is printed.
4. Change number to -5.
5. Check if it is less than 0. It is.
6. Print the number.
The output will just be -5.
B.
A shoe store is having a clearance sale on their summer shoes. All summer shoes are marked 55% off. A sign states you can take an additional 10% off the clearance sale prices. Kelly is deciding between two pairs of sandals shown in the table.
Shoes Original Price
Blue Sandals $75
Tan Sandals $68
If she buys the blue sandals, what is the final price Kelly will pay? Round to the nearest cent.
Answer:
$30.38
Step-by-step explanation:
Final Price = Original Price - Discount
Final Price = 75 - 41.25
Final Price = $33.75
Then its the additional 10%
So now you make your original cost $33.75 to make it easier so
Final Price = Original Price - Discount
Final Price = 33.75 - 3.375
Final Price = $30.38
Final Answer: $30.38
The final price Kelly will pay round to the nearest cent is $30 38¢
What is percent?In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".
Now it is given that,
Discount = 55%
Additional discount = 10%
Original Price of Blue Sandals = $75
Original Price of Tan Sandals = $68
Since Kelly bought blue sandels,
So, discount on Blue Sandals = 55% of $75
⇒ discount on Blue Sandals = 0.55 * $75 = $41.25
So, Cost of Blue Sandals = $75 - $41.25
⇒ Cost of Blue Sandals = $33.75
Now there is additional discount of 10%
Additional discount = 10% of $33.75
⇒ Additional discount = 0.10% * $33.75
⇒ Additional discount = $3.375
Thus, Final Cost of Blue Sandals = $33.75 - $3.375
⇒ Final Cost of Blue Sandals = $30.375
Round to the nearest cent final cost of Blue Sandals = $30 38¢
Thus, the final price Kelly will pay round to the nearest cent is $30 38¢
To learn more about Percentage visit :
brainly.com/question/24304697
#SPJ2
.anybody actually knows the answer
Answer:
2.56
Step-by-step explanation:
14.7 - 1.9 = 12.8
12.8/5 (sides) =
n = 2.56
check:
2.56 * 5 = 12.8
12.8 + 1.9 = 14.7
Which of the following has a graph that is a straight line? (4 points)
Question 1 options:
1)
Equation 1: y = 4x3 + 6
2)
Equation 2: y = 5x − 4.5
3)
Equation 3: y2 = x − 1
4)
Equation 4: y = 2x2 + 6
Answer:
y = 5x − 4.5
Have a safe and happy new years :)
The recommended number of flowers to plant in a garden is proportional to its area, as shown in the
table below. What is the recommended number of flowers for a garden of 24 square feet?
Garden Area
(square feet)
12
Number of
Flowers
16
20
15
24
30
40
(A) 24
(B) 29
(C) 30
(D) 32
Answer:
What’s is the answer o need heelpp
Step-by-step explanation:
Recommended number of flowers for a garden of 24 square feet is 32 so option (D) will be correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
Given data is forming a linear function.
Since the slope of a linear function is always constant
Slope = difference in y's coordinate / difference in x's coordinate
Lets say Garden area is x and the number of flowers is y
Then,
Slope = (y - 20)/(24-15) = (20-16)/(15-12)
(y - 20)/9 = 4/3
y = 12 + 20 = 32
Hence " Recommended number of flowers for a garden of 24 square feet is 32".
For more about the linear function,
brainly.com/question/21107621
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PLEASEE HELPPP!
what is the measure of
Answer:
x=12
Step-by-step explanation:
Im not sure which measure you're talking about, but I'll show you what I did here:
A triangle = 180 degrees.
4x + 8x + 4x =16x
-8 - 1 - 3 = -12
180 = 16x - 12 -Add 12 to both sides
192 = 16x -divide by 16 to get x by itself
12 = x
Angle A = 88 degrees (8 times 12 then subtract 8)
Angle B = 47 degrees (4 times 12 then subtract 1)
Angle C = 45 degrees (4 times 12 then subtract 3)
I need help with this question! Thank you :)
Answer:
hiii
your answer is option d
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
Answer:
y = 7x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 7 and (0, 1 ) ← crosses y- axis ⇒ c = 1
y = 7x + 1 ← equation of line
Five congruent squares are put together without gaps or overlap to form a figure shaped like a plus sign. The
perimeter of the figure is 72 cm. Find the area of the figure, in cm?
Answer:
180 square centimeters
Step-by-step explanation:
Because the five squares are congruent, the 12 sides of the figure are all equal in length. Then the length of one side is 72/12 = 6 cm. Therefore, the area of each square is 36 sq cm and the area of the figure, 5 x 36, is 180 sq cm.
Please solve this and show explanation! ty!
Answer: x=1 or x=−1
Step-by-step explanation: Step 1: Add 6 to both sides.
x2−6+6=−5+6
x2=1
Step 2: Take the square root.
x=±√1
BRAINLESS
Answer:
Step-by-step explanation:
a.) c = 9
To get a perfect square you must divide the bx or 6x in this situation then square it.
6/2 = 3
3^2 = 9
b.) (x - 1)(x - 5)
x^2 - 6x + 9 = -5 + 9
x^2 - 6x + 9 = 4
x^2 - 6x + 9 - 4 = 4 - 4
x^2 - 6x + 5 = 0
(x - 1)(x - 5)
x - 1 = 0
x = 1
x - 5 = 0
x = 5
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?
Thats insane tho!
Whats ur aops class that you take?
Solve for s.
72=27+9s
How do you solve for s?
Answer:
s=5
Step-by-step explanation:
Answer:
S = 5
Step-by-step explanation:
Subtract 27 from both sides
45 = 9s
divide by 9
s = 5
Solve for s.
12s=72
s = 17
s = 27
s = 3
s = 7
Answer: s = 6
Step-by-step explanation:
just simply divide both sides.
12s / 12 = 72 / 12
s = 6
find the value of a-9 when a = 8
Answer:
-1
Step-by-step explanation:
if a is 8 plug it in to the problem, and you get 8 - 9 which is -1
Hope this helps!
Answer:
-1
Step-by-step explanation: