Answer:
2.5%
Step-by-step explanation:
A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?
The formula for Rate of Interest in a simple interest is given as:
r = (1/t)(A/P - 1)
Where
t = time in years = 3 years
P = Principal = Initial amount invested = Ghc 500,000.00
A = Amount after t years =
Principal + Simple Interest
= Ghc 500,000.00 + Ghc 37,500.00
= Ghc 537,500.00
Hence:
The rate of interest = (1/3) × (Ghc 537,500.00/Ghc 500,000.00 - 1)
= r = 0.025
Converting r decimal to R a percentage
R = 0.025 × 100 = 2.5%/year
Therefore, the rate of interest per annum is 2.5%
A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 6 gallons every 3 days. At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel?
Mrs. Piazza invested $8000 in a certificate of deposit that pays 3% simple interest for 4 years. How much will be in Mrs. Piazza's account at the end of 4 years?
Answer:
$8960
Step-by-step explanation:
Given
principal = $8000
rate= 3%= 0.03
time = 4 years
Required
the final amount, we assume that this is a simple interest investment.
Step two:
[tex]A= P(1+rt)\\\\A=8000(1+0.03*4)\\\\A=8000(1+0.12)\\\\A=8000*(1.12)\\\\A=8960[/tex]
The final amount in the account is $8960
geometry:(
will give brainist!!!
Answer :
Should be this I’m not sure though
Step-by-step explanation:
Please help me out!!!!!
Answer:
Step-by-step explanation:
A store sells candles. Each cans,e costs the same amount. During a sale, the store reduces the price of each candle by $1.70, Owen spends $11.96 on 4 candles at the sale price. What was the price of 1 candle before the sale?
help me please!!!!!!!!
Answer:
(5x-1)(3x+2)
(if you don't want to do all of this you can use
Step-by-step explanation:
((3•5x2) + 7x) - 2
Factoring 15x2+7x-2
The first term is, 15x2 its coefficient is 15 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is -2
Step-1 : Multiply the coefficient of the first term by the constant 15 • -2 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is 7 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7
-6 + 5 = -1
-5 + 6 = 1
-3 + 10 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 10
15x2 - 3x + 10x - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (5x-1)
Add up the last 2 terms, pulling out common factors :
2 • (5x-1)
Step-5 : Add up the four terms of step 4 :
(3x+2) • (5x-1)
Which is the desired factorization
Answer:
(5x-1)(3x+2)
Step-by-step explanation:
hope this helps!!
Emma's grandmother sent her an $80 bookstore gift card for her birthday. Emma wants to make sure that her purchases don't exceed the amount of her gift card. So far, she has selected books that cost $8.95, $11.95, $22.25, and $24.95. She has also found a calendar she likes for $8.25. Round each item up to the next dollar to overestimate the total cost of the items in Emma's shopping basket.
Answer: total cost of the estimated items = $76
Step-by-step explanation:
Step 1
Rounding up each item to the next dollar
Book 1 = $8.95 ≈ $9.00
Book 2 = $11.95≈ $12.00
Book 3 = $22.25≈$22.00
Book 4 = $24.95≈$25.00
Calendar = $8.25 ≈$8.00
Step 2
The total estimated cost of items in Emma's shopping basket =$9.00+$12.00+$22.00+$25.00+$8.00
=$76 which did not exceed the amount of bookstore gift card of $80 sent by her grandmother.
Answer: 78$
Actual Estimate
$8.95 --------------------------$9.00
$11.95--------------------------$12.00
22.25--------------------------$23.00
$24.95------------------------$25.00
$8.25--------------------------$9.00
Then add the estimate numbers to get $78
f the line with equation y=−2x+7 is rotated 90° clockwise about the origin, what are the coordinates of the image of its y-intercept?
A. (2,0)
B. (7,0)
C. (0,−7)
D. (−7,0)
Answer:
B
Step-by-step explanation:
I looked it up
The line with equation y=−2x+7 is rotated 90° clockwise about the origin, the coordinates of the image of its y-intercept is D (−7,0).
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function.
The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
To find the y-intercept of the line y=-2x+7. When x=0 we have that y=-2·0+7, y=7,
then point (0,7) is the y-intercept.
When we rotate this line 90° clockwise about the origin, then point (0,7) will be placed on the x-axis in positive x-direction.
Rotation preserves the distances, then the coordinates of the image are (7,0).
The correct choice is D (−7,0).
Learn more about y-intercept here:
https://brainly.com/question/16540065
#SPJ2
Helpppppppppppppppppp
Over the past month, a hairstylist has had 56 female clients and 24 male clients. What is the ratio of male clients to female clients for this hairstylist?
Answer:
24:56
Simplified: 8:7
Step-by-step explanation:
select the correct answer which graph passes the vertical line test
Answer:
Step-by-step explanation:
Do you have the options?
For the vertical line test, you can only use the X once per Y. You can not have more than one X.
3.4 code practice: Question 1
Answer:
color = input("What color? ")
if (color == "yellow"):
print("Correct!")
else:
print("Nope")
A student starts a new semester with $30 in their lunch
account.Each lunch at school costs $1.75.What is the relationship between the number of school
lunches purchased, n, and the dollar amount in the account, A?
Answer:
28.25
Step-by-step explanation:
Y -7=2
6. Help me please ayuda
Answer:
54
Step-by-step explanation:
First add 7 to both sides to cancel out the -7
y/6-7(+7)=2(+7)
Then, multiply 6 to both sides to cancel the 6
y/6(6)=9(6)
y=54
what makes a solution different from other mixtures?
plz help
Answer:
In a mixture, substances are generally just mixed and are not completely dissolved. In a solution, substances are dissolved completely and they cannot be filtered out. Mixture comprises two or three compounds that aren't fused chemically. They have no physical interaction
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINLIEST!!
Answer:
Yes it is yellow
Step-by-step explanation:
You are correct
Can someone please help me with my math asap
Answer:
A) 15x - 12
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
5x(3 - 12x) - 3(4 - 20x²)
Step 2: Simplify
Distribute: 15x - 60x² - 12 + 60x²Combine like terms: 15x - 12Please can someone help????
Proof:
Consider [tex]\triangle WXZ, \triangle YZX:[/tex]
[tex]\overline W\overline X = \overline Y\overline Z[/tex] (given)
[tex]\angle WXZ = \angle YZX[/tex] (alternate angles are equal, [tex]\overline W\overline X\parallel \overline Y\overline Z[/tex])
[tex]\overline Z \overline X[/tex] is a common side
∴ [tex]\triangle WXZ \cong \triangle YZX[/tex] (SAS)
Hope this helps :)
Which expression represents the phrase 17 less than three times a number
This is an algebra expression. What we do is write it down in simplest form.
1. Write down equation
= 17 - 3 x n
= 3 x n + (-17)
I hope this answer helped. Have a great day everyone!
Which ordered pair represents the translation of R to S?
HELPPPPPPPPPPPPPPPPPP!
Can someone help me with these problems step by step? It’s pre-algebra so it’s not rlly that hard.
Answer:
11
Step-by-step explanation:
√121=11 so right answer is B
plz help urgent 20 PTS
Answer:
ABFE - 50
BFGC - 25
EFGH - 50
Step-by-step explanation:
Answer:
abfe 50. bfgc 25 efgh 50
Can you solve this by explaining.
Answer:
The answer is 1
Step-by-step explanation:
Start by solving the division part of the equation. In order to do that, you have to flip the fraction (reciprocal) and switch from division to multiplication, thus getting 3 x 3 = 9. Now you have 9 – 9 + 1, and from there you can simply work from left to right and get your final answer: 1.
If A = 117 degrees, B = 12 degrees, and b = 12, find a. Round to the nearest tenth.
Answer:
a = 51.4Step-by-step explanation:
sinA = sinB
a b
sin(117) = sin(12)
a 12
a * sin(12) = 12 * sin(117)
a = 12 * sin(117)
sin(12)
a = 51.4
Somebody help um please
Answer:
the last one and the second one I think. Maybe the first one not very sure.
Plz ANSWER QUICK! WILL GIVE BRAINIEST! ANSWER CORRECTLY!
20 percent of 120 is the same as 25 percent of what number?
A. 960
B. 96
C. 15
What is this
y=3x-4
Answer:
4/3 or 1.3
Step-by-step explanation:
y= 3x-4
To find x- intercept/zero, Substuite y=0.
0= 3 x -4
Move the variable to the left-hand side and change its sign
-3x= -4
Divide both sides of the equation by -3
x= 4/3
(1.3 as a decimal)
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. -91, -194, -291, -388
Answer:
[tex]T_n = -97n[/tex]
Step-by-step explanation:
The actual sequence is: -97, -194, -291, -388
Required
Determine the nth term
nth term of an arithmetic progression is:
[tex]T_n = T_1 + (n - 1)d[/tex]
Where
[tex]T_1 = First\ Term = -97[/tex]
[tex]d = Common\ Difference = -194 - (-97) =-97[/tex]
So:
[tex]T_n = T_1 + (n - 1)d[/tex] becomes
[tex]T_n = -97 + (n - 1) * -97[/tex]
[tex]T_n = -97 -97n + 97[/tex]
Collect Like Terms
[tex]T_n = -97n + 97-97[/tex]
[tex]T_n = -97n[/tex]
Hence, a term of the sequence is:
[tex]T_n = -97n[/tex]
Please help me circles.....
Answer:
95
Step-by-step explanation:
The equation is
x×2=285-x
3x=285
x=95
Answer:
x = 75°
Step-by-step explanation:
There are many Circle Geometry Rules. We will be using the following:
The angle at the centre of the circle is twice the angle at the circumference.
x = the angle opposite 285 - x.
This means that 360 - (285 - x) = 2x
360 - 285 + x = 2x
75 + x = 2x
We can simplify this by taking away x from both sides.
75 = x
We can check this by substituting x into the orginal equation.
360 - (285 - x) = 2x
360 - (285 - 75) = 2 * 75
360 - 210 = 2 * 75
150 = 2*75
150 = 150