Answer:
Principal in account A = $200
Principal in account B = $600
Account B earned more interest in the first month.
Step-by-step explanation:
Given two accounts:
Account A:
Time = 9 months = [tex]\frac{9}{12}[/tex] years
Interest rate = 3.8%
Interest earned = $5.70
Account B:
Time = 27 months = [tex]\frac{27}{12}[/tex] years
Interest rate = 2.4%
Interest earned = $32.40
To find:
Principal in each account.
Most interest earned in the first month?
Solution:
First of all, let us have a look at the formula for Simple Interest.
[tex]SI = \dfrac{P\times R\times T}{100}[/tex]
Putting the values for Account A and finding the value of Principal:
[tex]5.70 = \dfrac{P_A \times 3.8\times 9}{100\times 12}\\\Rightarrow P_A = \dfrac{570\times 12}{3.8\times 9}\\\Rightarrow P_A=\$200[/tex]
Now, Putting the values for Account B and finding the value of Principal:
[tex]32.40 = \dfrac{P_B \times 2.4\times 27}{100\times 12}\\\Rightarrow P_B = \dfrac{3240\times 12}{2.4\times 27}\\\Rightarrow P_B=\$600[/tex]
Interest earned in one month i.e. [tex]\frac{1}{12}[/tex] years:
Account A:
[tex]SI_A = \dfrac{200\times 3.8\times 1}{100\times 12}\\\Rightarrow SI_A = \$0.63[/tex]
[tex]SI_B = \dfrac{600\times 2.4\times 1}{100\times 12}\\\Rightarrow SI_B = \$1.2[/tex]
Account B earned more interest in the first month.
Therefore, the answers are:
Principal in account A = $200
Principal in account B = $600
Account B earned more interest in the first month.
I take out a loan for $120,000 at a 5% interest rate. After how many years will I owe $54,000 in interest?
Answer:
9 years
Step-by-step explanation:
120 000 times .05 = 6000
54 000 / 6000 = 9
6000 times 9 = 54000
Which decimal is equivalent to \dfrac{26}{9} 9 26 start fraction, 26, divided by, 9, end fraction? Choose 1 answer: Choose 1 answer: (Choice A) A 2.82.82, point, 8 (Choice B) B 2.\overline{8}2. 8 2, point, start overline, 8, end overline (Choice C) C 2.8892.8892, point, 889 (Choice D) D 2.92.9
Answer: C. 2.889 .
Step-by-step explanation:
To find : A decimal expression equivalent to [tex]\dfrac{26}{9}[/tex] .
When we divide 26 by 9 , we get 2.88888888889 which is approximately equal to 2.889 [Round off to the nearest thousandth place]
Hence, the decimal is equivalent to[tex]\dfrac{26}{9}[/tex] is 2.889.
Hence, the correct option is C. 2.889 .
Answer:
2.8 with the _ above the 8 dont listen to that other guy/girl
Find the sale price.
The original price of an easel is $70. The easel is on sale for 20% off.
The sale price is $
Answer:
$70-$20=$50
Step-by-step explanation:
i know that the sale price is 50 because it was 70-20 and that =50 So the sale price is $50.
What is 3/4 +3/5 as a mixed number
Answer:
27 /20 =1 and 7 over 20= 1.35
Step-by-step explanation:
Answer:
1 7/20
Step-by-step explanation: 3/4+3/5 as a mixed number
Well you start by having 3/4+3/5 and then you multiply 5 times 3 which is 15, then you multiply 3 times 4 is 12. Now you multiply the denomerators which are 5 times 4 is 20 so what I did was I switch the number to on each side so the denomerators are 5 and 4 so I just put the 4 on the left side and then I put the 5 on the other side well you do numerator and the denomerator as the same number so you can multiply the numerator and the denomerator as the same on each side but so like this 5/5 * 3/4+3/5*4/4 now you multiply the numerator adn the denomerator anad you get 15/20+12/20 now you just add so 15+12 is 27 and you just leave the denomerator alone so it is 27/20 so now you have to divide. here is a trick up my sleeve you could do the football long division so you put it like 27/20. So now you have to figure out what can go into 27 with 20 which is 1 so you put that above the division sign and now you subtract 27 and 20 so that gives you 7 now you take that 7 and bring it above the 20 and not you have 7/20 and now you bring it up over and past the 1 and now you have 1 7/20 or you could say as like this one and seven 20 and can't 20th so I just put 20 so don't mind. I hope this is the answer!!
help por fav vorrrrrr
Answer:
The slope PV is:
m = -4Step-by-step explanation:
Given
P(2, 4)V(3, 0)Determining the slope of PV
(x₁, y₁) = (2, 4)
(x₂, y₂) = (3, 0)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [0 - 4] / [3 - 2]
= -4 / 1
= -4
Thus, the slope PV is:
m = -4A
B
C
D
I NEED HELP ASAP
Answer:
D
Step-by-step explanation:
ΔCBA ≅ Δ BCD
∠A = ∠D = 90°
BC = CB {hypotenuse and reflexive property}
BA = CD
need to solve and graph...show work
Answer:
I guess its 19
Step-by-step explanation:
sorry but i don't know i will guess 19
Your welcome
Help from,
M31wwer
Consider T(h) = 10h, which gives the total money earned, T, after a specific number of hours worked, h. Find h when T(h) = 200.
Answer:
Number of hours worked = 20 hours
Step-by-step explanation:
Given:
T(h) = 10h
T(h) = 200
Find:
Number of hours worked
Computation:
T(h) = 10h ......eq1
T(h) = 200 ......eq2
eq 1 = eq 2
10h = 200
h = 20
Number of hours worked = 20 hours
Help me ASAP
A) 100
B)43
C)180
Answer :
C:180 is the correct answer
I honestly don’t understand this. Can someone explain/help me with it?
Answer:
2 - 7 x
Step-by-step explanation:
h(w) = -0.5 x 4^w
w = 18
Answer:
-3.44 times 10^10
Step-by-step explanation:
Find the value of X
4x - 19
X-1
Answer: The answer is 76
Step-by-step explanation:
What is the surface area of a rectangular prism with measurements of 5, 7, and 4?
Answer:
166
Step-by-step explanation:
A cube is a rectangular prism where all its sides are the same. The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
A=2(wl+hl+hw)=2·(7·5+4·5+4·7)=166
A = 166
Hope this helps
Jane's salary is increased by 3% to £20497.
how much was her salary before the rise?
Answer:
19882
Step-by-step explanation:
20497 - 3% = 614
20497 - 614 = 19882
Answer:
x=20,095.09
Step-by-step explanation:
Salary after 3% Increment= £20497
Suppose x was her salary before 3% Increment
x+3% of x=£20497
x+0.03x=£20497
1.03x=£20497
x=£20497/1.02
x=20,095.09
Which answer is it, don’t mind the one I chose please
The cost of two pounds of cherries is
$8.58. What is the unit rate that describes the
cost per pound of cherries?
Answer:
since you have 2 pounds, and spend $8.58 total, divide the amount you spent, but how many pounds you bought to get the unit rate which is $4.29
Step-by-step explanation:
Answer:
$4.29 per pound
Step-by-step explanation:
(8.58 dollars)/(2 pounds) = ((8.58/2) dollars)/pound =4.29 dollars/pound
Two times a number added to another number is 25. Three times the first number minus
the other number is 20. Find the numbers.
x,y = 9,7. Took me a minute to do the math.
Anyone know whats
90-209
+1-23+2046.
Answer:
1905
Step-by-step explanation:
will give brainliest lolo please answer fast
the model below represents the equation x + 4 = 4x + 2
what value of x makes the equation true?
Answer:
is the answer b
Step-by-step explanation:
sorry wrong
Answer: It's A
Step-by-step explanation: Solve the equation for x and you should get 2/3.
Round the problem to estimate the quotient: 135,296 divided by 16
Answer: 8,437
Step-by-step explanation:
Hope this helps bro. Good day mate!
On Dolores's tenth birthday her grandfather deposited $35
in a savings account for her. Each year, her grandfather
deposited twice the amount of the previous year's deposit.
How much money did her grandfather deposit on Dolores's
eighteenth birthday?
Answer: Her grandfather deposited $4480 on Dolores's eighteenth birthday.
Step-by-step explanation:
Initial amount deposited = $35 (on tenth birthday)
Amount deposited after a year = 2 x ($35) (on eleventh birthday)
Amount deposited after 2 years =2 x( 2 x ($35)) = 2²(35)(on eleventh birthday)
It is following the geometric progression, where a= 35, r= 2 (common ratio)
nth term in GP =[tex]ar^{n-1}[/tex]
Amount deposited on eighteenth birthday (i.e. n=8) = [tex](35)(2)^{8-1}[/tex]
[tex]=35\times2^7=35\times128=4480[/tex]
Hence, Her grandfather deposited $4480 on Dolores's eighteenth birthday.
Find the x- and y intercepts for each of the following
Mary works for a company that ships packages and must measure the size of each box that needs to be shipped. Mary measures a box and finds the length is 7 1/2 inches, the width is 14 inches, and the height is 15 inches. What is the volume of the box? [Type your answer as a number.]
Answer:
7.5 X 14 X 15
l X w X h
answer 1575 cubed inches
Quadrilateral ABCD has vertices at A(-3, 3), B(0, 4), C(3, 3),and D(0,2). What word below best describes this quadrilateral?
A) Square
B) Rectangle
C) Parallelogram
D) Rhombus
9514 1404 393
Answer:
D) Rhombus
Step-by-step explanation:
The diagonals are perpendicular bisectors of each other, but are different lengths. The figure is a rhombus.
solve the equation x2-4x+6=0 by completing the square
Answer:
X= i√2
Step-by-step explanation:
Tom used 3/8 of a piece of ribbon for a kite tail. From the remaining 5/8 of the ribbon, he cut pieces to tie weights on the kite tail. Each tie was 1/12 of the whole ribbon. How many times did he cut?
Answer:
7.5
Step-by-step explanation:
Fraction used for kite = 3/8
Fraction of entire ribbon = 1/1
Fraction left after making kite :
Fraction left = 1 - 3/8 = (8 - 3) / 8 = 5/8
Fraction used as tie = 1/12
Number of ties obtainable from the fraction left :
Fraction of ribbon left ÷ fraction used as tie
5/ 8 ÷ 1/ 12
5/8 * 12 / 1
= 60 / 8
= 7.5
Can any1 answer this? I need help, asap. :(
Answer:
y = -4x + 5
Step-by-step explanation:
Linear Formula: y = mx + b
b: The line touches the Y-axis at the fifth unit (0,5)
m: Using the rise-over-run method; the line can be seen going from the coordinates (0,5) to (1,1). Moving from (0,5) to (1,1), you move the plot 4 units downwards and 1 unit to the right; 4/1 = 4. Since the line is sloping downward, the line entire slope value would be -4
With m = -4 and b = 5; your equation is y = -4x + 5
Classify this triangle by its sides and angles.
-right and scalene-
-right and isosceles-
-acute and isosceles-
-acute and scalene-
The three sides of a triangle are in the ratio 2:4:5. If the perimeter of the triangle is 132 meters long, find the length of the shortest side.
Answer: The shortest side would be 96 meters long if I understood the question.
Step-by-step explanation:
What is the line of reflection for the trapezoids?
СЕ
A. x= 3
B. y= 3
C. x- axis
D. y- axis
