Answer:
20 years
Step-by-step explanation:
A=500(1+.03)^20
$903
A=100(1+.12)^20
$964
It took her 20 years to overtake.
Answer:
Simple interest = NeverCompound interest = 19 years and 4 monthsStep-by-step explanation:
Jack
Initial amount = $500Interest rate = 3% = 0.03Yearly interest = 0.03*500 = $15
Diane
Initial amount = $100Interest rate = 12% = 0.12Yearly interest = 0.12*100 = $12
Diane's initial amount and yearly interest amount are both less than of Jack's.
It means her balance will never overtake Jack's.
=======================
It is not mentioned in the question but let's assume it is compound interest which is annually compounded.
Then after x years their balance will be:
Jack
500(1 + 0.03)^x = 500*1.03^xDiane
100(1 + 0.12)^x = 100*1.12^xSolve inequality below:
100*1.12^x ≥ 500*1.03^x(1.12/1.03)^x ≥ 51.087^x ≥ 5x log 1.087 ≥ log 5x ≥ log 5 / log 1.087x ≥ 19.29 years = 19 years and 4 monthsWhat is the coefficient in the expression 4x + 2
O2
O4
Ox
O+
A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).
The 2 and + are out since they don't have variables(and the + is just a +).
So 4 and x are left. x is a variable, not a coefficient, so the last(and correct) answer is 4.
---
hope it helps
An accountant rents three notebook computers for temporary workers
to use during tax season. The total rental amount is $2,750. The
accountant makes monthly payments of $1,100.
How many payments does the accountant make?
How much interest does the accountant pay on the rental?
Answer:
possibly $1
Step-by-step explanation:
don’t know how to explain but I hope this helps
Answer:
4454
Step-by-step explanation:
Solve each equation.
d(d+3)-d(d-4)=9d-16
Answer:
2d+3d-2d+4d= 9d-16
2d is cancelled
3d+4d=9d-16
7d=9d-16
16=9d-7d
16=2
16/2
d=8
HELPP ME!! Ya'll brainly has answers for this question but they're all different answers!! I'm so unsure! One of the offices at the company was being repainted. Riley’s mother challenged him to figure out how many quarts of paint would be needed. The office is 16 ft long and 12 ft wide, and the height of each wall is 10 ft. The office floor, ceiling, and door are not being painted, and there are no windows in this office. The door opening measures 3 ft by 8 ft. One quart of paint covers 2 100 ft . How many quarts of paint are needed to paint the room, if only full quarts can be purchased? Show your work.
Answer:
3.8 quarts
Step-by-step explanation:
Please help
1. Rafael stands 55 feet from the tower and uses a clinometer to measure the angle of elevation to the
viewing platform as 37º. How far up the tower is the viewing platform?
Answer:
41.4feet
Step-by-step explanation:
Using the SOH CAH TOA identity
Given the following
Distance of Rafael from the tower = 55feet = Adjacent
Angle of elevation = 37degrees
Required
Height of the tower = Opposite
Since Tan theta = opp/adj
Tan 37 = x/55
x = 55tan37
x = 55(0.7536)
x = 41.4
Hence the tower is 41.4feet up the viewing platform
PLS HELP ME FAST FREE 16 POINTS Rectangle PQRS is graphed on a coordinate plane with vertices P(–2, 1), Q(–2, 4), R(–4, 4), and S(–4, 1), as shown below.
Rectangle PQRS is reflected over the y–axis and then translated 2 units to the left. What are the coordinates of P'?
O(1, 0)
O(0, 1)
O(4, 1)
O(–4, –1)
Answer:
Pretty sure it's B!
Step-by-step explanation:
Over the Y axis- (2,1)
To the left two times= (0,1)
Hope this helped!
Answer:
(0,1)
Step-by-step explanation:
Since the problem is only asking about P', let's ignore the rest of the rectangle. P's coordinates are to be reflected across the y-axis, putting P' at (2,1). Move P' left by two units and your 'x' is 0, your 'y' is the same. So, (0,1)
What is the factorization of the trinomial below?
-2x^3-10x^2-12x
Answer: -2x (x+3) (x+2)
Step-by-step explanation:
Answer:
(−2x)(x+2)(x+3)
Step-by-step explanation:
−2x3−10x2−12x
=(−2x)(x+2)(x+3)
Answer:
(−2x)(x+2)(x+3)
Which of the ratios below is equivalent to 8:5?
Answer:
Nobody can answer this question if you don't tell us what are the ratios that are 'below'. We have no answers to choose from...
Please help me solve 8n+2-6n-13=9+2n-13
Answer:
It has no solution, unless there's a specific way it needs to be solved
Step-by-step explanation:
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of games be represented as x
Let the cost for the total number of games be y
And , the values of x = { 2 , 5 , 7 }
Now , the values of y = { 9.00 , 22.50 , 31.50 }
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
On simplifying , we get
9 = k ( 2 )
Divide by 2 on both sides , we get
k = 4.5
And , 22.50 = k ( 5 )
Divide by 2 on both sides , we get
k = 4.5
Therefore , the proportionality constant is k = 4.5
Hence , the proportion is y = 4.5x
To learn more about proportion click :
https://brainly.com/question/7096655
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The complete question is :
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the Number of the games and price form a proportional relationship? choose correct response
1. Yes there is a constant of proportionality of 11.25.
2. Yes there is a constant of proportionality of 4.50.
3. No there is not a constant of proportionality.
4. No the Slope is 4.5
Help me please !!!!! I need help
10 percent of 300 is 30
3 hours and 10 minutes =190
triangle ABC is similar to triangle EHG , find the measure of angle EHG .
Answer:
[tex]\angle EHG = 80[/tex]
Step-by-step explanation:
Given
ABC ∼ EHG
See attachment
Required
Determine [tex]\angle EHG[/tex]
First, we calculate x in ABC
[tex]x + 2x + 60= 180[/tex]
[tex]3x + 60= 180[/tex]
[tex]3x = 120[/tex]
[tex]x = 40[/tex]
The corresponding angle to [tex]\angle EHG[/tex] is [tex]\angle ABC[/tex]
and
[tex]\angle ABC = 2x[/tex]
[tex]\angle ABC = 2 * 40[/tex]
[tex]\angle ABC = 80[/tex]
Hence:
[tex]\angle EHG = 80[/tex]
The circumference of a circle is m. What is the area , in square meters ? Express your answer in terms of pi
Answer:
area = m²/2π
Step-by-step explanation:
∵ circumference of circle = 2πr = m
∴ r = m/2π
∵ area of circle = πr²
∴ area of circle = (m/2π)² × π = m²/2π² × π = m²/2π
hope this helps
Multi answer inequality! Please help and comment only if you know!
Answer:
-8, 0, and -12
Step-by-step explanation:
Using -7 would get you 8. Using -5 would get you 4
In the figure below, m 2 2 = 76°. Find m Z1, m3, and m 24.
m 21 =
= 0
4
1
m 23 =
3
2.
m 24
Answer:
Chapter 2 Review WS. Period: Date: 1. A transversal intersects two parallel lines. ... 2. Find the measure of angles 1-4 and 6-8, using the following diagram. meisen ... 4. Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal. ... Find the measure of angle 1. m24 = 123, mZ1 = 2x, mZ2 = x +42.
Step-by-step explanation:
Need help with all three
Answer:
7. 3000
8. 768
9. 378
Step-by-step explanation:
7. 60×50=3000
8. 48×16=768
9. 21×18=378
3a²b3(-4b3 + 2b2a - 7) =
Answer:
the answer is =6a^3b^5−12a^2b^6−21a^2b^3
Step-by-step explanation:
hoped I helped:)
I need help on this pls help meh
Answer:
the missing side T-F is 8. the missing side F-K is 3.
Step-by-step explanation:
hope I helped
Answer:
(SR*ST)+(FK*KL)=66cm²
Step-by-step explanation:
RL=ST+F K
9= 6+x
F K=3
T F=8
Area of this figure= (3*2)+(6*10)
=6+60=66 cm²
Help pls and thanks :)
(Are the two triangles similar? Explain, step by step, how you know. )
Answer:
The two triangles can be considered similar as Angle A is 70 degrees and Angle B is a congruent angle to Angle A, which can be proven by adding 70 to 110 which shows a 180 degree angle (flat angle). Therefore we know that this triangle is similar
Step-by-step explanation:
Which of the following numbers makes the inequality -2
A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is
Answer:
opposite word of disperse
A truck traveled 144 miles on 12 gallons of diesel fuel. At
this rate how much fuel will the truck use to go 720 miles?
Answer:
60 gallons
Step-by-step explanation:
144/12 = 12 mi/gal
720/12 = 60
An ice cube tray has 12 sections. Each section has the shape of a 3 m cube. What is the volume of water used to fill the tray?
Answer:
324 m³
Step-by-step explanation:
each cube = 3x3x3 = 27 m³
27 m³ 12 = 324 m³
PLS HELP I WILL DO ANYTHING
Answer:
the solution for x is x=40
Find the surface
area of 11mm 8mm 22mm
Answer: The chosen topic is not meant for use with this type of problem. Try the examples below.
Step-by-step explanation:
If the original square is 3 in by 7 in, but then you enlarge the square to 6 in by 14 in, what percent of the smaller original square's area is the larger square's area?
Answer:
Step-by-step explanation:
100(14(6))/(3(7))
100(84/21)
100(4)
400%
ORDER
ORDER OF OPERATIONS
21 divided by 3 +4
Answer:
11
Step-by-step explanation:
21/3+4
7+4
11
.......
What is the value of x? Round to the nearest tenths place.
Answer:
39^2-15^2=1296
/
put this number in a square root and it will give you=36
×=36
Step-by-step explanation:
hypotenuse minus short side it gives another short side
Can someone help me please????
The temperature in February was at most 6°F. Use t as your variable.
Answer:
t ≤ 6°F
The temperature(t) was less than or equal to 6°F.
Can someone plz help me! Thx!
Answer:
q
Step-by-step explanation:
a
Answer:
Step-by-step explanation: