The amount of interest paid per year is $2400
What is Interest rate?
An interest rate is the percentage a lender charges on the amount of money borrowed from them.
Given that, Brendon Walsh wants to borrow the sum of $40,000 from the bank
Interest rate is 6%
Time is 5 years
Therefore, the yearly payment amount can be calculated as follows
= 40,000 × 5 × 6/100
= 40,000 × 5 × 0.06
= 12000/5
= $2,400
Hence, the yearly payment is $2,400
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A recipe that would make 18 cupcakes
calls for 4 teaspoons of vanilla. How
many cupcakes is that per teaspoon?
Answer:
Hello there,
Let's solve,
It takes 4tsp for 18 cupcakes
thus for 1tsp it'll be,
= 18/4
= 4 and a half cupcake
That is one teaspoon of vanilla is needed for 4 and a half cupcakes.
All the best!
Rachna borrowed a certain sum at the rate of 15% per annum. if she paid at the end of the two years Rs.1290 as interest Compounded annually, find the sum she borrowed.
Given info:
Compound Interest = Rs.1290
Rate of Interest = 15% p.a
Time = 2 years
Formula we have to know:-[tex] \dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}[/tex]
Where
C.I = Compound Interest
P = Principle
R = Rate of Interest
N = Time
[tex]\textsf{ \underline{Solution-}}\\[/tex]
Here
C.I = Rs.1290
R = 15%
N = 2 years
Principle = ?
Now,Calculating the sum (Principle) borrowed by Rachna
[tex] \quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}[/tex]
Substituting the given values
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}[/tex]
[tex]\quad{: \implies{\sf{1290 = P \times {0.3225}}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}[/tex]
[tex]\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}[/tex]
[tex]\quad{: \implies{\sf{Rs.4000 = P}}}[/tex]
[tex]\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
Hence,
The sum (Principle) is Rs.4000.
f(x)=3x-7 input is 3
Answer:
The answer is f(x)=2
Step-by-step explanation:
When the input is given it means that the x is substituted by that number.
so 3x3-7.
3x3-7
9-7=2.
The f of x is equivalent to 2.
I hope this helps :D
calculate the time taken for a train to travel 1000m if its initial is 3 m/s and it is moving at a constant acceleration of 0.1m/s^2
Answer:
Step-by-step explanation:
For obects already in motion, the distance travelled, s, is:
s = vi*t + (1/2)at^2
where vi is the initial velocity, a is the acceleration, and t is the time in seconds.
We want the time, t, to reach 1000 meters.
1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)
(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2
0.05t^2 + 3t -1000 = 0
Solve quadratic equation:
t = 114.6 seconds
what is the unit rate of 588 and 12
Answer:
49
Step-by-step explanation:
588 divided by 12 49
___ = -------
12 divided by 12 1
Hope this helped, click thanks if it did
FIND THE FACTORS OF THE FOLLOWING POLYNOMIAL 3y²-2y-1
Answer:
y
[tex] y2 - 2y - 3[/tex]
[tex](y - 1)(y + 3) [/tex]
[tex](3y - 1)(3y + 3)[/tex]
Step-by-step explanation:
you multiple the 3 with the 1
then factor
then divide by 3 again but the denominator goes in front of the y.
Dilate the image by k=1/4
Leticia spends $18.45 on a shirt. She spends at least $3.00 more than Humberto spends. If h represents the amount Humberto spends, which symbol can be used to complete the inequality below to represent this situation?
18.45 blank 3 + h
>
<
Greater-than-or-equal-to
Less-than-or-equal-to
Answer:
>
Step-by-step explanation:
28.45 >3+hgydnjsjsjjsjkso
q
1
y=qx
P
Write x in terms of p, q and y.
Answer:
x = [tex]\frac{y}{pq}[/tex]
Step-by-step explanation:
y = pqx ( isolate x by dividing both sides by pq )
[tex]\frac{y}{pq}[/tex] = x
Aurora has a cell phone plan that charges $65 for phone service
Answer:
interesting
Step-by-step explanation:
solve −2 1/4⋅(−2 1/3)
a −5 1/4
b −4 1/1
c 4 1/12
d 5 1/4
Answer:
5 1/4
The answer is d (d 5 1/4)
Answer: D
Step-by-step explanation:
[tex]-2\frac{1}{4}[/tex] × [tex]-2\frac{1}{3}[/tex]
= [tex]\frac{-9}{4}[/tex] × [tex]\frac{-7}{3}[/tex]
= [tex]\frac{3}{4}[/tex] × [tex]7[/tex]
= [tex]\frac{21}{4}[/tex] or [tex]5\frac{1}{4}[/tex]
please give me a brainliest answer
Jodi is going to start up a cookie baking business over the summer to make some extra money. It costs her $2.45 in supplies to make a dozen cookies. She wants to markup the price by 150%. How much should she sell a dozen cookies for? $
The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?
Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)
4-2y=-2x in slope intercept form
Answer:
y=x+2
Step-by-step explanation:
4-2y=-2x
Divide everything by 2.
2-y=-x
Switch to y=mx+b form.
-y=-x-2
Multiply everything by +1.
y=x+2
The figure is a drawing of a field that will be planted with new grass. What is the area of the field?
a 36.0 ft2
b 292.5 ft2
c 1,296.0 ft2
d 270.0 ft2
Answer:
Step-by-step explanation:
Select the correct answer?
Which expression is equivalent to y2/5, if y ≠ 0?
Answer:
Exponents =
[tex]\textsf y^{\frac{2}{5}} \textsf{equivalent} \sqrt[5]{y^2}[/tex]
Solution :
[tex]\textsf{When} \ a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]
[tex]\textsf{And} \ y^{\frac{2}{5}} = \sqrt[5]{y^2}[/tex]
.
answer pls for 30 points and brainliest
Answer:
your answer will be letter B
Step-by-step explanation:
There are ten eggs in a carton. How many eggs are in four cartons?
Answer:
40 because 10 x 4 = 40
Step-by-step explanation:
Dude this is baby level question
Answer is 10×4= 40
So 40 Eggs
PLEASE ANSWER ALL THESE FOR 60 POINTS!!!
Answer:
Step-by-step explanation:
17. ≈ 1.41 + 5 = 6.41
18. ≈ 1.73 × 2.24 = 3.8752
19. ≈ 3.14 × 25 = 78.5
20. ≈ 2.24 × 2.24 = 5.0176
21. ≈ 10 - 2 × 3.14 = 10 - 6.28 = 3.72
22. I’m sorry. I don’t know.
please give me a brainliest answer
7 pls pls pls help meeee!
1260=(n-2) x 180what is n?
Answer:
N = 9
Step-by-step explanation:
1. 1260 / 180 = 7
2. Because we removed 2 before, we're going to add 2 because we're doing it in reverse and we get 9, therefore the answer is 9
4 times 14 5/6 to the nearest whole number
Answer:
356
Step-by-step explanation:
4 x (14 5/6) =
4 x (14 x 6) + 5
4 x 89 = 356
7819 rounded to 1 significant figure
Answer:
8000
Step-by-step explanation:
PLEASE HELP.
I’m not good at algebra and I’m stuck.
Fine a number such that half of the number is 4 more than 6.
Answer:
20
Step-by-step explanation:
20 / 2 = 10
10 - 4 = 6
Write an equation in slope-intercept form for the line with slope 1/4 and y-intercept -3
Answer: [tex]y=\frac{1}{4}x-3[/tex]
Step-by-step explanation:
Cuantos lugares sobran de acuerdo con el número de las mesas y de los invitados que te tienen?
Answer:la cantidad de invitados y la cantidad de mesas que no nos dio por favor agréguelo para que pueda ayudarlo :))
Step-by-step explanation:
*Add 6 to the difference between 9 and 7*
Answer:
(9-7)+6
2+6
8...........
Answer:8
Step-by-step explanation:9-7=2. 2+6=8
Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?
The correct option is D f⁻¹(x) = 2 + √(x + 2).
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The inverse function of a function f in mathematics is a function that reverses the operation of f.
The given function is f(x) = 1 / (2 + √(x + 2)). The inverse function of the given function is,
f⁻¹(x) = 2 + √( x + 2).
Therefore, the correct option is D f⁻¹(x) = 2 + √( x + 2 ).
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Which expression is equivalent to 6m + (m – 2)(m + 7) + 3?
Answer:
m^2+11m-11.
Step-by-step explanation:
Answer: When x=10 , both expressions have a value of 33. James determined that these two expressions were equivalent expressions using the values of x= 4 and x=6 .Which statements are true? Check all that apply. When x=2, both expressions have a value of 18. The expressions have equivalent values for any value of x.
Step-by-step explanation:
Hope this helps!
