Answer:
principal (p) = 2400
Amount (A) =2646
time (t) = 2 years
Interest = A-p
=2646-2400=246
T = I * 100/(P*T)
= 246*100/(2400 *2) = 5.125%
Step-by-step explanation:
The rate of interest will be 5.125% for the given data.
What is compound interest?Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
Given that the sum of rs 2400 compounded to rs 2646 in 2 years. The compound interest will be calculated as,
principal (p) = 2400
Amount (A) =2646
time (t) = 2 years
Interest = A-p
=2646-2400=246
T = I x 100/(P x T)
T = ( 246 x 100) / (2400 x 2)
T = 5.125%
Hence, the interest rate will be %5.125.
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3a +- 2b = 6b - 2a for a.
Answer: a=4b/5
Step-by-step explanation:
To solve for a, we want to use algebraic properties to isolate a.
3a+2b=6b-2a [add both sides by 2a]
5a+2b=6b [subtract both sides by 2b]
5a=4b [divide both sides by 5]
a=4b/5
Now, we have found that a=4b/5.
how does a dilation change a figure
3526.48502 to 2 decimal places
Answer:
3526.48502
3526.49 as after 8 there is 5 and more than
Step-by-step explanation:
Answer:
3526.49
Step-by-step explanation:
You look at two 2dp after the decimal point. It is 8. You look to the number on the right which is 5 so you round up to 9.
Which of the following is NOT a function help pls!
Step-by-step explanation:
In a function, the x factor will not repeat. I does not matter if the y repeats, but the x will not repeat in a true function. for example (2,4) (1,4) (5,9) is a function, but (2,4) (2,1) (5,9) is NOT a function
Question: 8n - 3 - 5n > 9
Answer: Inequality Form:
n > 4
Interval Notation:
4, (infinite)
I need help with this
Simplify Expression
16 - (1 - 5x) - 4x - 29
Answer:
-9x-14
Step-by-step explanation:
Please help me out! I don't understand this
Answer:
D.
Step-by-step explanation:
Answer:
CD=EF. -(1)
EF=GH. -(2)
Adding (1) and (2)
[LHS(1)+LHS(2) = RHS(1)+RHS(2)]
CD+EF = EF+GH
EF on both sides cancel each other.
CD= GH
Option D is the answer.
Hope this will help :-)
Can someone please help me I have been trying for hours and I don’t get it.
if 20 percent of item is 360,what is 85 percent of the item
6) A tree casts a shadow 60 feet long. At the same time, a nearby 8-foot post casts a 12- foot shadow. How tall is the tree?
Answer:
40 ft
Step-by-step explanation:
The tree's shadow is 60/12 = 5 times the length of the shadow of the post. So, we figure the tree is 5 times the height of the post:
5(8 ft) = 40 ft . . . height of tree
__
You may want to write a proportion:
tree height/tree shadow = post height/post shadow
t / 60 = 8 / 12
t = 60(8/12) = 40 . . . . multiply by 60
LAST ONE GUYSSS \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle
Answer:
[tex] m\angle L = 111\degree \\
m\angle M = 69\degree [/tex]
Step-by-step explanation:
Since, angle L and angle M are supplementary.
[tex]\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ [/tex]
what is the cost of 1 pound of potatoes? Enter the answer in the box.
What number is the opposite of 75
Write a ratio that simplifies to 2:7
Answer:
4 : 14
Step-by-step explanation:
Step 1:
2 : 7 = 4 : 14
Answer:
4 : 14
Hope This Helps :)
Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below.
3.40 + 0.85 x = 5.27. 0.85 x = 8.67. x = 10.2 pounds.
Where, if anywhere, did Carina make an error?
Carina did not make any errors.
The initial equation that Carina wrote was incorrect.
Carina should have subtracted 3.40 from 5.27.
Carina should have divided 8.67 by 0.85.
Answer:
C. Carina should have subtracted 3.40 from 5.27
Step-by-step explanation:
I'm just smart like that
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The mistake that Carina made is she should have subtracted 3.40 from 5.27.
How many pounds of tomatoes was bought?The equation that represents the total amount spent is: $5.27 = $3.40 + $0.85x
In order to determine the value of x, take the following steps:
Combine similar terms: 5.27 - 3.40 = 0.85Add similar terms: 1.87 = 0.85xDivide both sides of the equation by 0.85: 2.2 poundsTo learn more about addition, please check: https://brainly.com/question/349488
Given f(x) = x2 − 4x + 5, find . . . .
a. f(2) b. f(-6)
Answer:f(x) = 3x2 + 5 and y = 3x2 + 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(2) = (2)^2 - 4(2) + 5 = 4 - 8 + 5 = -4 + 5 = 1
f(-6)= (-6)^2 - 4(-6) + 5 = 36 + 24 + 5 = 60 + 5= 65
11. Solve by completing the square.
- 10x = 5x^2-1
Answer:
x = (√6/√5) - 1
Step-by-step explanation:
- 10 x = 5x^2 -1
can be written as
5x² + 10x - 1 = 0
completing the square method :
for quadratic equation of the format ax² + bx + c = 0 ,
step 1, divide equation by a
therefore. dividing the equation by 5
=> x² + 2x - (1/5) = 0
=> x² + 2x = 1/5
c - 2b/4 = -1/5 - (2(2)/4) = -(6/5)
b/2 = 1
=> x² + 2x +1 = 6/5
=> (x + 1)² = 6/5
=> x = (√6/√5) - 1
Help please I can’t find the answer!
-5
A function is where each input is related to exactly one output. Because -5 was already previously listed as an x value in an ordered pair, it can not be used in a function. Another way of thinking of a function is if it passes the vertical line test where a vertical line can only pass through your line once. Let me know if this doesn't make sense!
Greg receives the following scores on his math tests: {90, 83, 78, 95}. What is the minimum score he needs on the last math test in order to get an 85 average in the class?
Answer:
79
Step-by-step explanation:
the total of 90, 83, 78, 95= 346 which averages to 86.5
346+79=425
425/5= 85
what is the inverse function of -8x+14?
Answer:
14 x is the inverse of f(x)=14x f ( x ) = 14 x .
Step-by-step explanation:
Certain clouds form when temperatures fall below −52°C. What is this temperature in degrees Fahrenheit?
Answer:
Step-by-step explanation:
-61.6 degrees Fahrenheit
Laura is 32 feet below the surface in a cave. If she ascends 8 feet, find her new position relative to the surface.
If Laura ascends 8 feet, her new position relative to the surface is 24 feet below the surface.
How to assign sign to the like and unlike algebraic expression coefficients?If the direction is same (like coefficients), we add them and if the direction is opposite (unlike coefficients) then we subtract them. The sign can be taken as per our convenience for a particular direction.
Similarly, as given, if Laura is 32 feet below the surface in a cave (say negative direction)
- 32 feet
and then further she ascends 8 feet that is upward direction (say positive direction),
+ 8 feet
then for calculating final distance of Laura position from surface, we get the expression as:
-32 + 8 = - 24
Hence the final result value is negative 24, it means Laura is bellow the surface, by the distance of 24 feet.
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What value of a makes the equation true?
3(a + 1.5) = -1.5
Answers: 2, -2 ,-1 ,1 PLS HELPPO
Li cut a 6-inch piece of string into pieces that are each ½ of an inch long. How many pieces of string did she cut?
Answer: 12
Step-by-step explanation: 6 times 2 is 12 and she has a 6 inch string and each peace is 1/2 inch long so she would have 12 peaces of string.
A golf course designer is creating a scale drawing of a new course on a coordinate grid and using vectors to describe the displacement from the starting point to the hole. For the first hole, the ball starts at the point (–15, –12). The first hole is at the point (–25, 6). The scale of the model is 1 unit = 20 yards. Which vector can be used to determine how far the first hole is from the starting point, and what is that length? Round the length to the nearest yard if necessary.
A. ⟨-10,18⟩; 412 yards
B. ⟨-10, 18⟩; 424 yards
C. ⟨-40, -6⟩; 809 yards
D. ⟨-40, -6⟩; 1,636 yards
Answer:
A. (-10,18); 412 yards
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
If 2* = 32
find the value of x.
Answer:
2^x = 2*2*2*2*2
2^X = 2^5
x=5
Step-by-step explanation:
helpppppppp pleaseeeee
To find the relative frequency of something, take the frequency and divide by the total number of data values.
Total number of data values = 1170
Row one: relative frequency = 5 / 1170 = 0.0043
Row two: relative frequency = 17 / 1170 = 0.0145
Row three: relative frequency = 52 / 1170 = 0.0444
Row four: relative frequency = 118 / 1170 = 0.1009
Row five: relative frequency = 172 / 1170 = 0.1470
Row six: relative frequency = 232 / 1170 = 0.1983
Row seven: relative frequency = 219 / 1170 = 0.1872
Row eight: relative frequency = 172 / 1170 = 0.1470
Row nine: relative frequency = 95 / 1170 = 0.0812
Row ten: relative frequency = 57 / 1170 = 0.0487
Row eleven: relative frequency = 23 / 1170 = 0.0197
Row twelve: relative frequency = 8 / 1170 = 0.0068
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
#6 is 17 days
Step-by-step explanation:
This is how I answered it
1) 2750 = 550 + 125x
2) subtract 550 from each side
2750-550=2200
so the left over equation is:
2200 = 125x
3) divide each side by 125 to get x by itself
2200÷125= 17.6
4) you are left with: x = 17 days
The bill from your plumber was $134. The cost for labor was $32 per hour. The cost for materials
was $46. How many hours did the plumber work.
Answer:
2.75 hours, or 2 hours and 45 minutes
Step-by-step explanation:
Subtract the cost of materials from the bill, 134-46=88.
Then, for every hour, he charges 32, so divide the difference by 32, 88/32.