Answer:
Amount after given year = $2,290.34 (Approx.)
Step-by-step explanation:
Given:
Principal = $650
Annual interest rate = 6.5%
Time = 20 year
Find:
Amount after 20 year
Computation:
Using compound formula;
A = P[1+r]ⁿ
Where;
A = Amount after given year
P = Principal
r = Annual interest rate
n = Time taken
Amount after given year = 650[1+6.5%]²⁰
Amount after given year = 650[1+0.065]²⁰
Amount after given year = 650[1.065]²⁰
Amount after given year = 650[3.5236]
Amount after given year = $2,290.34 (Approx.)
write an equivalent expression in standard form.
(2x + 5)(x + 1)
The equivalent expression in standard form is 2x² + 7x + 5.
What is Expression?An expression is combination of variables, numbers and operators.
To write the expression in standard form, we need to simplify it by multiplying the two factors using the distributive property of multiplication:
(2x + 5)(x + 1) = 2x² + 2x + 5x + 5
Combining like terms, we get:
(2x + 5)(x + 1) = 2x² + 7x + 5
Therefore, the equivalent expression in standard form is 2x² + 7x + 5.
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A pair of basketball shoes originally priced at $120.00 was markdown by 10%. Explain in writing (typing) how to find the amount of the markdown then explain how to find the new price for the shoes.
Step-by-step explanation:
B.shoes=$120
%D=10%
%D=10%×120÷100=$12
DISCOUNT =$12 S.P=M.P-D=120-12 =$109What is the value of 3 to the power of 2 + 4(2 + 4) × 6 ÷ 8 + 4?
Answer: I don’t understand What is the value of 3 to the power of 2 + 4(2 + 4) × 6 ÷ 8 + 4 but I can solve 2 + 4(2 + 4) × 6 ÷ 8 + 4 for you. Look at the picture
Step-by-step explanation: Hope this help :D
anyone know the answer?
I'm stuck with the answer....can someone help me?
Step-by-step explanation:
all the fractions should have the same bottom or denominator
so I multiplied the bottom numbers together which is 140
at the top I multiplied 3 x35, 2x28 and 20x1
added them together and got
181/140
Mrs. Goldstein is building a new house. She creates a scale drawing of the house on a piece of paper. The scale is 1cm = 5.5ft. The scale drawing of the house is a RECTANGLE and it measures 15cm by 25cm. What is the AREA of her house?
Answer:11343.75 feet
Step-by-step explanation:
so you do 15 x 5.5 and then 25 x 5.5 then you times the answers of the two and you get your answer
this should be right.
Hoped this helped
0.5(r+2.75) = 30.5(r+2.75)=3
Answer:
3.25 and -2.651639344262295...
Step-by-step explanation:
if 0.5(r + 2.75) = 3, then r = 3.25
if 30.5(r + 2.75) = 3, then r = -2.651639344262295...
I would appreciate Brainliest, but no worries.
Answer:
3.25
Step-by-step explanation:
Pls help, question on picture, will do brainliest if right
no links!!!!!
End of Module 4 Assessment
Answer:
where's the question?
Step-by-step explanation:
is it a question?
Answer:
whats the question?
Step-by-step explanation:
Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
~Thanks in advance ! <3
Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:
[tex]PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ[/tex]
Likewise:
[tex]\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ[/tex]
Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:
[tex]m\angle PAC=m\angle PAB+m\angle BAC[/tex]
Likewise:
[tex]m\angle QAB=m\angle QAC+m\angle BAC[/tex]
Since ∠QAC ≅ ∠PAB:
[tex]m\angle PAC=m\angle QAC+m\angle BAC[/tex]
And by substitution:
[tex]m\angle PAC=m\angle QAB[/tex]
Thus:
[tex]\angle PAC\cong \angle QAB[/tex]
Then by SAS Congruence:
[tex]\Delta PAC\cong \Delta BAQ[/tex]
And by CPCTC:
[tex]PC\cong BQ[/tex]
Answer:
Step-by-step explanation:
To prove PC = BQ, we need to prove triangle APC and ABQ are congruent.
AP = AB as they are part of equilateral triangle APB
AC = AQ as they are part of equilateral triangle AQC
Angle PAC = Angle PAB + Angle BAC = 60 + Angle BAC
Angle BAQ = Angle QAC + Angle BAC = 60 + Angle BAC = Angle PAC
By SAS, triangle APC and ABQ are congruent and therefore
PC = BQ
Please answer these questions! If they are all right you get brainliest :)
1. Pedro has 4 gallons of paint. How many quarts of paint does he have?
Answer Choices-----> 2, 8, 16, 64
2. Rachel is 72 inches tall. What is her height in feet? ____ ft
3. A car weighs 3,000 pounds. How many tons is that?
Answer Choices------> 1.5 2.0 2.5 3.0
Answer:
Step-by-step explanation:
1. 4 × 4 = 16
2. 72 / 10 = 7 feets 2 inches
3. 3000 / 1000 = 3 tons
the rachel one is 6 i dont know the others sorry
Given m∥n, find the value of x.
Answer:
x = 32
Step-by-step explanation:
these angles are same-side-exterior angles which are supplementary
therefore you can add them together and set equal to 180 to solve for 'x'
2x - 16 + 4x + 4 = 180
6x - 12 = 180
6x = 192
x = 32
US
Jordan is 12 years older than Anna. The
sum of their ages is 50. Find the age of
each person.
Answer:
Jordan age = 31 yearsAnna age = 19 yearsStep-by-step explanation:
let Jordan age be X & Anna age be Y
so,
Jordan is 12 years older than Anna.
x = y + 12 ......... (1)
The sum of their ages is 50.
x + y = 50 ........ (2)
putting value of x from (1) into (2)
x + y = 50
(y + 12) + y = 50
2y + 12 = 50
2y = 50 - 12
2y = 38
y = 38÷2
y = 19
putting value of y in (2)
x + y = 50
x + 19 = 50
x = 50 - 19
x = 31
so,
Jordan age = 31 years
Anna age = 19 years
Tara is hosting a party. She wants to buy some invitations. She has £50 to spend in either shop 1 or shop 2. What is the maximum number of invitations she can buy from each shop?
Find the point at which the line f(x)=3x-15 intersects the line g(x)= -4x+13
Answer:
(4,-3)
Step-by-step explanation:
3x-15=-4x+13
7x=28
X=4
3x4-15=-3
Find the mean, median, and mode(s) of the data with and without the outlier.
45, 52, 17, 63, 57, 42, 54, 58
The part that I got confused was the outlier
Which of the following is equivalent to
4x2y - 2y2x - 5xy
Select one:
a. -2x2y - 5xy + 4xy2
b. 2xy2 - 5xy + 4x2y
c. -2xy2 + 5xy + 4x2y
d. -2xy2 - 5xy + 4x2y
e. 2x2y - 5xy
Answer:
1 Simplify 4x\times 2y4x×2y to 8xy8xy.
8xy-2y\times 2x-5xy
8xy−2y×2x−5xy
2 Simplify 2y\times 2x2y×2x to 4yx4yx.
8xy-4yx-5xy
8xy−4yx−5xy
3 Simplify.
-xy
−xy
Step-by-step explanation:
If sintheta = cos theta then the value of acute angle is
Answer:
45 degrees
Step-by-step explanation:
Here, we want to get the value of the acute angle
From the question, we have it that the sin of the acute angle equals its cosine
Recall;
cos A = sin (90-A)
Hence, if A is 45, then Cos A and Sine A will be the same
This means the value of theta which is the acute angle is 45 degrees
Find the measure of XY. Assume that segments that appear to be tangent are tangent. Round your final answer to the nearest tenth, if necessary.
Answer:
Solution given:
7x-29=2x+16[length from the circumference of circle is equal to same point]
7x-2x=16+29
5x=45
x=45/5=9
now.
XY=2×9+16=18+16=34 is your answer
The measure of tangent XY is 34.
What is tangent on a circle?If two tangents are drawn to a circle from an external point, then they are equal in length.
This property is often used in geometry problems to find the length of a tangent segment or to solve for an unknown variable.
We have,
The two tangents in a circle are equal.
So,
2x + 16 = 7x - 29
Solve for x.
2x + 16 = 7x - 29
7x - 2x = 16 + 29
5x = 45
x = 9
Now,
XY
= 2x + 16
= 2 x 9 + 16
= 18 + 16
= 34
Thus,
The measure of XY is 34.
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Hamid published a book of poems. He sold 35 copies in the first week for $10 per copy. He wanted to increase the price of each book to increase his revenue. He found out that for every 50-cent increase, x, in the price per copy, the average number of books he sold decreased by 2 per week. Use this information to create expressions that model the number of books he sold and the revenue he got.
The number of books sold is given by the expression ______, and the revenue is given by the expression ______.
Answer:
35-2x10+0.5xStep-by-step explanation:
The number of books sold is given by the expression 35-2x, and the revenue is given by the expression 10+0.5x.for plato/edmentum(2-1/2)(3-1/3)(4-1/4)
Answer: 1/4
Step-by-step explanation:
2-1/2 ==> 1/2
3-1/3 ==> 2/3
4-1/4 ==> 3/4
1/2 x 2/3 x 3/4 = 6/24
*Reduce 6/24*
1/4
Artem drives 12.6 miles in 12 minutes.
He passes a sign which gives the speed limit as 50 mph.
By how much, in mph, did Artem's average speed exceed the speed limit?
Answer:
18 mph
Step-by-step explanation:
12.6 × 5 =68.0. 68 - 50 = 18
whats y⁵ ×y im confused lol pls respond to this
Answer:
5y^5
Step-by-step explanation:
there is no real solution. really i just simplified. if you wanted a real answer y would have to be giving. if not then this is all the question is asking. for you to simplify
Please help me
Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?
Answer:
35 mph
Step-by-step explanation:
As you might have learned in your physics class, the average speed of a car in mph is 50. You should write this down on some paper.
After writing it down, we need to look at what the problem is asking us, so we don't get confused. " How fast was he going on the way to the bookstore?"
This means that we need to calculate his mph speed on the way to the bookstore by subtracting something.
50 mph=Average
Alternate Route= -15
After you have written THAT down in your notes, you need to ask yourself,
"What is 50-15?"
Calculating 50-15 will make the "15 mph slower" show up and calculating that with the average will get you your answer.
50-15 is 35
HELP ME NOW PLEASE................
List 3 responsibilities that a consumer has when making a purchase.
Answer:
check receipt, know the return policy, read the fine print.
Step-by-step explanation:
The responsibilities of a consumer includes check receipt, know the return policy, read the fine print.
Responsibility of a ConsumerEvery consumer have basic responsibility they need to adhere to when making a purchase. This is done to protect their right via consumer laws and these responsibilities includes
check the receipt of purchase know the return policyread the fine print.When a consumer makes a purchase, s/he is required to check the receipt in order to avoid over billing or charges from done intentionally or not. Knowing the return policy and reading the fine print would guide you in the use of the product.
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Mallory works 20 hours a week as a website designer and earns $42.50 per hour. If Mallory saves
1
2
of her total website-design earnings each week, how much will she save in 4 weeks?
Answer:
I believe it's 17000
Step-by-step explanation:
42.50 x 20 = 850
850 x 5 (5 business days) = 4250
4250 x 4 (4 weeks) = 17000
The dot plot shows the number of free homework passes received by students ima. class Each dot represents 1 student
What percent of the student did not receive a free homework pass??
a 8%
b 16%
c 32%
d 68%
Answer:
C. 32%
Step-by-step explanation:
To find the denominator here, we have to count up how many dots/students there are total. Then our numerator is how many students are in the zero column.
That gives us 8/25 = 0.32. Multiply by 100 for the percentage = 32%
Please help, again. Once again, first come first serve for brainliest.
wright the ratio in simplest form 1/3
Answer:
1/3
Step-by-step explanation: