Answer:
$475
Step-by-step explanation:
The total amount Rahim will be paying is found from the simple interest formula ...
A = P(1 +rt) . . . . . P is the loan amount, r is the annual rate, t is the number of years.
A = $24,000(1 +0.0375×5) = $28,500
Spread over 60 monthly payments, that amounts to ...
$28,500/60 = $475 . . . per month
__
Additional comment
Mr. Rahim's loan has an APR of 6.98%. This sort of loan costs more than the interest rate might suggest, because interest is still being paid on principal that has already been repaid.
Lake Okeechobee's water level was at sea level in April. In May, the lake's level rose 4 inches and in June it rose 2 more inches. As a result of no rain, the lake's level fell 5 inches in July and 3 more inches in August. Select all the expressions that describe this situation. 4 – 5 4 + 2 – 5 – 3 4 + 2 – (5 – 3) 4 + 2 – (5 + 3) 4 + 2 – (– 5) – (– 3) 4 + 2 + (– 5) + (– 3)
Step-by-step explanation:
If the lake's level rose 4 inches and in June it rose 2 more inches, the total amount of distance that he rose is (4+2).
Also if the lake's level fell 5 inches in July and 3 more inches in August as a result of no rain, then the total amount of fall will be (5+3).
Change in height of the lake = total rise in distance - Total fall in distance
Change in height of the lake = (4+2) - (5+3) = (5+3) - (4+2) {commutative law}
open the parenthesis
(4+2) - (5+3)= 4+2-5-3 (note that minus times plus will give minus)
Hence the expressions that best describe this situation are;
1. (4+2) - (5+3)
2. (5+3)-(4+2)
3. (4+2) - 5 -3
Find the slope for each pair of points (1,2), (4,3)
HELP plzz
Answer:
slope is 1
Step-by-step explanation:
Hope this helps
You measure a tree's shadow and find that it is x = 13 meters long. Then you measure the shadow of a nearby two-meter lamppost and find that it is 75 centimeters long. (See figure.) How tall is the tree? (Round your answer to one decimal place.)
Answer:34.7
Step-by-step explanation:
h/ 13 = 2/0.75
h= 2 • 13 / 0.75
34.7 m (rounded)
Tree is 34.7m tall.
What is similar triangle?In similar triangle, shape is same but size is varing. So the ratio of corresponding sides are also equal.
So according to asked question,
Let height of the tree =h
The triangle formed by the tree and its shadow is similar with the triangle formd by the the trangle formed by the lamppost and its shadow.
So, according to the propoties of the similar triangle
a₁/a₂=b₁/b₂
h/x=2m/75cm
⇒h/13=2/(3/4)
⇒h/13=2*4/3=8/3
⇒h=8*13/3=34.666≅34.7m
Therefore tree is 34.7m tall.
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Help ASAP Please TY
Answer: 12, 18, 24
Step-by-step explanation:
represent in number line
1/5 and 2/5
See picture for math work and answer.
CAN SOMEONE PLEASE HELP ME IF YOU CAN
Answer: 6x^2+3x
Step-by-step explanation:
hey help quick...please
Answer:
A
Step-by-step explanation:
2Red 6 Blue Balls
+4Yellow
= 6 balls
Is PQS congruent to RQS by HL? If so, name the legs that allow the use of HL.
Answer:
Yes.
RS ≅ PS
QS ≅ QS
Step-by-step explanation:
The Hypotenuse-Leg Congruence Theorem states that when the hypotenuse and one leg of a Right-angled triangle are congruent to that of another Right-angled triangle, the two Right-angled triangles are therefore congruent.
In the diagram given, the hypotenuse (RS) and a leg (QS), of ∆RQS is congruent to the hypotenuse (PS) and a leg (QS) of ∆PQS. Therefore, ∆PQS is congruent to ∆RQS by HL Congruence Theorem.
Yes, PQS congruent to RQS by HL is true statement according to the diagram.
Hence :
RS ≅ PS
QS ≅ QS
Step-by-step explanation:
Given information:
The hypotenuse RS and PS
And leg QS.
Hypotenuse-Leg (HL) theorem:
The H-L theorem states that If, the hypotenuse and one leg of a Right-angle triangle are congruent to that of another right angle triangle then the given two right angled triangle will be congruent.
As, we can see in the given diagram the hypotenuse (RS) and the leg (QS) of triangle ΔRQS is congruent to hypotenuse (PS) and leg (QS) of triangle ΔPQS.
Hence , we can say that the ΔPQS is congruent to ΔRQS by H-L Congruent theorem.
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What is the value of 2x^2-5x+6 when x= -2
A. -24
B. 4
C. 24
Or D. 32
Answer:
C=24
Step-by-step explanations:
Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.E. Common ratio; growth multiplier) was around 1.9. In 1983, about 1800 people in the U.S. Died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2006?
Answer:
4640933300 people would have died from AIDS in 2006.
Step-by-step explanation:
Let the equation that models the growth in mortality because of AIDS be,
[tex]A_n=A_0(1+r)^n[/tex]
Where [tex]A_n[/tex] = Number of deaths after n years
[tex]A_0[/tex] = Deaths in first year
(1 + r) = Growth factor
n = number of years
Now we substitute the values in the equation,
[tex]A_0=1800[/tex]
(1 + r) = 1.9
n = Number of years = 2006 - 1983 = 23 years
[tex]A_n=1800(1.9)^{23}[/tex]
= 1800(2578296.28)
= 4640933300
Therefore, with the same death rate 4640933300 people would have died from AIDS in 2006.
PLEASE HELP!!!
Tony has 6 dollars in change in his car. Every time he drives to visit his grandma, he pays $1.25 in tolls. Which graph represents the change Tony has in his car?
Answer:
I'd assume the last one but I don't know exactly what the graph is measuring
Who wants to smash some COD 1 on a ps3 in the morning
Answer:
Step-by-step explanation:
Meeee
Find the x- and y-intercepts :
Y= 3x + 9
Answers:
y = -3 and x = 9
y = 9 and x= -3
Which one should I choose?
Answer:
(y= -3 and x = 9)
Step-by-step explanation:
For the y intercept, make x = 0 and solve. For the x intercept, make f(x) = 0 and solve.
use the graph to answer the following question. For what values of x does f(x)=4
0,4
is where it would land and you can
Two numbers that are the same distance from zero on a number line are called ___ numbers
Answer:
They are called opposites.
Step-by-step explanation:
"Zero is called the origin, and it's neither negative nor positive. For every positive integer, there's a negative integer an equal distance from the origin. Two integers that lie the same distance from the origin in opposite directions are called opposites. For example, negative 5 is the opposite of positive 5."
Hope this helps :)
The table shows prices that three restaurant chefs paid for the same kind of salmon at the Florida Fish Factory
Price, p
Weight, w
3 Ib.
$ 27.00
5 lb.
$ 45.00
8 lb.
$ 72.00
The equation p= kw, shows the relationship between the price of salmon. p. and the weight of the salmon
What is the value of the constant of proportionality in this situation?
per pound
Answer:
its a
Step-by-step explanation:boo
Answer: it’s $9 per pound
Step-by-step explanation:
What is 1 2/3m + 2 = 2 1/6? Solve for m and show your work please
Answer:
Step-by-step explanation:
1+2/3m+2=2+1/6
We move all terms to the left:
1+2/3m+2-(2+1/6)=0
Domain of the equation: 3m!=0
m!=0/3
m!=0
m∈R
We add all the numbers together, and all the variables
2/3m+1+2-(1/6+2)=0
We add all the numbers together, and all the variables
2/3m+3-(1/6+2)=0
We get rid of parentheses
2/3m+3-2-1/6=0
We calculate fractions
There is no solution for this equation
Answer: m = 1/10
Step-by-step explanation:
1 2/3m + 2 = 2 1/6
Firstly, subtract 2 from both sides to get m alone:
1 2/3m = 1/6
Now, to get m alone, divide both sides by 1 2/3:
m = 1/10
Hope this helps!
add the polynomials (2x + 3) + (2x + 1)
Answer:
4(x+1)
Step-by-step explanation:
Factor 2x+3+2x+1
4x+4
=4(x+1)
Answer:
here's your answer
please mark me as brainliest
What are the coordinates of the ordered pair (1, 3) after reflecting over x-
axis, translating right 3 and down 2? *
Answer:
(-4,1)
Step-by-step explanation:
change the sign of the x value to a negative
(-1,3)
add 3 to the x value since it's horizontal
(-4.3)
subtract 2 from the y value, since it's vertical
(-4,1)
hope this helps.
im givin away points to anyone even people who just want points just somebody pls answer dis question <3 : Use rounding to estimate the product. Is your estimate an underestimate or an overestimate?
8 × 9.82
Answer:
1.80
2.Overestimate.
Step-by-step explanation:
Answer:
Sorry I'm late
Step-by-step explanation:
What is the y- intercept of 2x-5y=35
****please hurry****
Answer: the y-intercept is -7
Step-by-step explanation: Rewrite the equation in slopr intercept form and simplify:
2x-5y=35 Subtract 2x from both sides
-5y = -2x + 35 Divide both sides by -5 to isolate y
y = 2x/5 -7
You spend 20 minutes doing homework. You spend 2 hour watching television. Write the ratio of the amount of time spent doing homework to the amount of time spent watching television as a fraction in simplest form.
Answer:
6, 6/1, 6:1
Step-by-step explanation:
Plz mark Brainliest
A truck can be rented from company A for $120 a day plus $0.50 per mile. Company b chargers $80 a day plus $0.70 per mile to rent the same truck. Part A write a equation. To find the number of miles in a day at which the rental costs for company A and company B are the same Part b solve the equation
Answer:
Part A: [tex].50x+120 = .70x+80[/tex]
Part B: [tex]200[/tex] miles
Step-by-step explanation:
So to start, we need to put this information into slope-intercept form. Slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] represents the slope of a line and [tex]b[/tex] represents the y-intercept. In this question [tex]y[/tex] represents the total cost of the rental, [tex]x[/tex] represents the number of miles driven, [tex]m[/tex] represents the price per mile, and [tex]b[/tex] represents the base price of the rental. Now that we know the variables, we need to plug in the information we have.
Since we know that company A charges $125 a day and $0.50 per mile we would have [tex]y=.50x+120[/tex]
Since we know that company B charges $80 a day and $0.70 per mile we would have [tex]y=.70x+80[/tex]
Now that we have two equations we can move onto the next step. We're looking to know the number of miles ([tex]x[/tex]) that would make the total cost ([tex]y[/tex]) equal. To do this we can make the equations equal each other since we know that [tex]y[/tex] will be the same.
Written out, the equation will look like this: [tex].50x+120 = .70x+80[/tex]
Now, we are trying to find [tex]x[/tex] so we need to isolate the variable.
To start we need to put [tex]x[/tex] on the same side so we'll subtract [tex].70x[/tex] from both sides to get [tex]-.20x+120=80[/tex]
Next, we'll subtract [tex]120[/tex] from both sides of the equation to get [tex]-.20x=-40[/tex]
Finally, we'll divide both sides by [tex]-.20[/tex] to get [tex]x=200[/tex]
This means that at [tex]200[/tex] miles, both companies will cost the same amount.
Tickets at an amusement park are $25 for children and $45 for adults, the Jones family has 4200 cash
and they have two children, what is the maximum amount of adult tickets they can purchase?
Step-by-step explanation:
$4200 - $50
= $4150
4150 divided by 45 = 92.222.......
92.222 is approximately 93
So you can purchase 92/93 tickets in total
Since tickets are physical things, I dont think you can approximate it but that's my answer
The maximum amount of adult tickets they can purchase are 92.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given are tickets at an amusement park that are $25 for children and $45 for adults. The Jones family has 4200 cash and they have two children.
Assume that they could purchase [n] number of adult tickets.
Cash remaining for adult tickets = 4200 - 2(25)
The total number of adult tickets that can be buyed are calculated as follows -
45n = 4200 - 2(25)
45n = 4200 - 50
45n = 4150
n = 4150/45
n = 92 (exact value)
Therefore, the maximum amount of adult tickets they can purchase are 92.
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will give that brainliest answer w.e is called
The midpoint of the two points is (8 , 11.5)
The distance between (7,7) and (19,16) is 15
How would -9-(-5) look like as an addition problem?
Answer:
-9+5=-4
Step-by-step explanation:
a negative times a negative is always a positive.
Answer:
-9 + 5
Step-by-step explanation:
If there is a negative sign in front of a negative number in parenthesis, then that makes the negative number a positive number which is -9 + 5
A car rental agency charges a base fee of $50 plus an additional charge of $0.40 for every mile driven. The total charge, c, is given by the equation. c = 50 + 0.40m, where m represents the miles driven. When Mr. Sims rented a car, his total charge was $178.00. How many miles did Mr. Sims drive the car? *
Answer:
Mr. Sims drove 320 miles.
Step-by-step explanation:
c = 50 + 0.40m
178 = 50 + 0.40m
128 = 0.40m
m = 320
Enter an expression in the box to write a quadratic function given the vertex (7,-4) and the point (5, 8).
Answer:
f(x) = 3(x - 7)² - 4Step-by-step explanation:
The vertex form of an equation of the parabola:
f(x) = a(x - h)² + k
the vertex is (7, -4) ⇒ h = 7, k = -4
so:
f(x) = a(x - 7)² + (-4)
f(x) = a(x - 7)² - 4
The parabola goes through the point (5, 8) ⇒ x=5, f(x)=8
8 = a(5 - 7)² - 4
8 = a(-2)² - 4
+4 +4
12 = 4a
÷4 ÷4
a = 3
It means the equation of the parabola in vertex form:
f(x) = 3(x - 7)² - 4
What is -7b-3=-3b+5? Solve for b and show your work please.
Answer:
- 2
Step-by-step explanation:
Step 1:
- 7b - 3 = - 3b + 5 Equation
Step 2:
- 3 = 4b + 5 Add 7b on both sides
Step 3:
- 8 = 4b Subtract 5 on both sides
Step 4:
b = - 8 ÷ 4 Divide
Answer:
b = - 2
Hope This Helps :)
Paco grew 12 plants with 4 seeds packets. How many seeds packets does Paco need to have a total of 18 plants in his backyard? Solve using unit rates.
Answer: 72
Step-by-step explanation: i multiplied 18 and 4 and that gave me 72
hopefully im not wrong let me know if i am
Answer:
5 and half packet of seeds or 5.5 which is 6 packets
Step-by-step explanation:
12 / 4 = 3
he can plant 3 plants with 1 seed packet
which means he needs 5 packets and half
the answer is 6