Answer:
i) 8%
ii) 16,872.96
Step-by-step explanation:
A) Since she borrowed 15000 and at the end of six months it amounted to 15600. What it means is that;
Interest; i = 15600 - 15000 = 600
Now,formula for rate of interest is;
R = (100i)/(Pt)
Where;
i = 600
P is amount borrowed = 15000
t is time period compounded. Since it's compounded semi annually, then t = ½
Thus, from PRT/100 = i, we can find R as;
R = (100 × 600)/(15000 × (6/12))%
R = 8%
B) After 12 months, which is another semi annual period after 6 months, the Interest will now be;
15600 × 8% × (6/12) = 624
Thus, amount due at this point is 15600 + 624 = 16224
After 18 months which is another semi annual period after 12 months, the Interest will now be;
16224 × 8% × (6/12) = 648.96
Thus, amount due at this point is 16224 + 648.96 = 16,872.96
Mikayla wants to buy a dress that is on sale for 25% off. The original price was $84 and sales tax is 5%. What is the total price the cashier at the store will ask Mikayla to pay for the dress?
Answer:
$67.20
Step-by-step explanation:
84 x .05
4.2
84 x .25
21
84-21
63
63 + 4.2
67.20
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
The answer is 4186. 67
Step-by-step explanation:
[tex]v = \frac{4}{3} \times 3.14 \times {(10)}^{3} \\ v = 4186.66666 \\ v = 4186.67[/tex]
I am a math teacher If you need any explanation you can communicate with me on Whats on this number 01557831028
PLS HELP!! GIVING BRAINLIST
Answer:
x=2
y=0
Step-by-step explanation:
8x - 4y = 16
solve for x
8x = 4y + 16
divide 8 by all terms
x = 2 + [tex]\frac{y}{2}[/tex]
Insert x in second equation
8(2+y/2)+4y=16
solve
y=0
x=2
A swiming pool has a perimeter of 72 feet.
The short sides measure 16 feet. What is the length of the longer sides of the pool
Answer:
40 for both of the long sides.
Step-by-step explanation:
Hope this helps! <3
Answer: Each long side is 20
Step-by-step explanation: If the short side were 16 then you would subtract 32 from 72. This would give you 40 you would divide this by two because you have two sides. So each long side is 20.
Let the random variable H represent the height of a woman in the population. P(H<60) represents the probability, of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model for the normal model.
Answer:
Hello your question in incomplete attached below is the complete question
answer : 0.03
Step-by-step explanation:
H represents the height of women
Determine P ( H < 60 ) using either discrete or normal model
using discrete model
P ( H < 60 ) = ∑ relative frequencies of women with height < 60 inches
= 0.01 + 0.02 = 0.03
AC =using the Distance Formula
A. 10
B. 5
C. 15
Answer:
√41
Step-by-step explanation:
Here we want to find the value of AC
A = (-4,0)
C = (1,4)
The distance formula is;
D = √(y2-y1)^2 + (x2-x1)^2
D = √(4-0)^2 + (1-(-4)^2
D = √4^2 + 5^2
D = √(16+25)
D = √41
PLEASE HELP FAST! Find the equation of a line that bisects the line segment joining the points (-1,3) and (5,-3) and intersects the x-axis at the origin.
Answer: y=0
Step-by-step explanation:
Mid point of line segment joining (a,b) and (p,q) = [tex](\dfrac{a+p}{2},\dfrac{b+q}{2})[/tex]
Mid point of line segment joining the points (-1,3) and (5,-3) = [tex](\dfrac{-1+5}{2},\dfrac{3-3}{2})[/tex]
[tex]=(\dfrac42,\dfrac02)\\= (2,0)[/tex]
Equation of line passing through (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Equation of line passing through (2,0) and (0,0) will be:
[tex](y-0)=\dfrac{0-0}{2-0}(x-0)\\\\\\ y=0[/tex]
finding the distance between two points (-4,-3),(6,1)
Answer:
it's the first one
Step-by-step explanation:
Find the sales tax. Then find the total cost of the item.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$50.00
4%
?
The sales tax is $
The total cost is $
Answer:
Tax = $2.00, cost of item = $52.00
Step-by-step explanation:
Multiply 50(.04) = $2.00, then add $50 + $2 = $52
Answer:
Sales tax 2.00, Total cost=52.00
Step-by-step explanation:
50 x .04=2 sales tax
50+2=52 total price
Are the triangles similar?
A. Yes, by SSS~ Postulate
B. Yes, by SAS~ Postulate
C. Yes, by AA~ Postulate
D. No, their sides are not proportional
Answer:
A. Yes, by SSS~ PostulateStep-by-step explanation:
Verify the ratio is same for each pair of corresponding sides:
AC/HF = 84/14 = 6AB/HG = 72/12 = 6CB/GF = 48/8 = 6Confirmed the three sides have same ratio
Correct option is A
Latrell wants to fill his water bottle between classes, but the water fountain next to his classroom is frustratingly slow. It takes Latrell 5 seconds to get each ounce of water in his bottle. There is a proportional relationship between the amount of water (in ounces) Latrell puts in his water bottle, x, and how long in seconds) it takes to get that amount, y. Graph this relationship. Select two points to draw a line.
what is the slope of the line? _____
Answer:
Step-by-step explanation:
Slope = rise/ run, or y∨2 - y∨1/ x∨2 - x∨1
5-10/ 1-2 =
-5/-1 = 5
The slope of the line drawn from the given data is 5.
What is the slope?A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).
Given this, Latrell fills his bottle with one ounce of water in five seconds. The amount of water Latrell puts in his water bottle (in ounces), x, and the time (in seconds) it takes to get that amount, y, are proportionate. This connection can be graphed. Since, the line will pass from the origin(0, 0).
Since given y is the directly proportional equation of the line will be;
y = mx
where m is the slope of the line
Also given, filling the bottle at every ounce requires 5 seconds of time. hence, the line will go from (1, 5)
Thus, the value of the m will be;
5 = m *1
m =5
Therefore, the slope of the line is 5.
Learn more about the slope here:
https://brainly.com/question/14548961
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pls help me with this multiple choice!!
Answer:
The answer will be B x=36 and y=18
Step-by-step explanation:
Hope this Helped
What is the
length and the base.
The height of a triangle is 2m more than the base. The area is 17.5 m^2.
Answer: 5 m
Step-by-step explanation:
Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart. 7 x 5. So 7 is the height and 5 is the base.
Check answer: A = 1/2xbxh
A = 1/2 x 7 x 5
A = 1/2 x 35
A = 17.5 sq m
Need help fast please
Omg- I need mega help- Ok- WHATS 1+1?! fr- this is such a hard question
Answer:
hkññaaqedx jurx jkñlnbgl dpsnish mija
z is proportional to x^3. describe exactly what will happen to x when z became 8 times greater
Answer: x is doubled.
Step-by-step explanation:
A proportional relationship between x and y is written as:
y = k*x
where k is called the constant of proportionality.
In this case, we know that we have a proportional relationship between z and x^3
Then:
z = k*x^3
What will happen to x when z is 8 times greater?
Let's rewrite this equation for two new quantities, z' and x'
z' = k*(x')^3
Now we need to replace z' by 8*z, then:
8*z = k*(x')^3
We want to find a relationship between x' and x.
And by the first relationship, we know that:
z = k*x^3
Then we can replace this in the equation "8*z = k*(x')^3" to get:
8*(k*x^3) = k*(x')^3
8*k*x^3 = k*(x')^3
Now we can divide both sides by k, so we get:
8*x^3 = (x')^3
Now we can apply the cubic root to both sides, to get:
∛(8*x^3) = ∛(x')^3
∛(8)*x = x'
2*x = x'
Then when we increase the value of z 8 times, the value of x will be doubled.
Given: x = 11 when y = 99. If y varies directly as x, find x when y= 144
Answer:
x=16
Step-by-step explanation:
11×9=99, so variaton is 9x=y. that means y=x/9
144/9=16
3. CLOVERS Nathaniel is searching for a four-leaf
clover in a field. He finds 2 four-leaf clovers during
the first 12 minutes of his search. If Nathaniel spends
a total of 180 minutes searching in the field, predict
the number of four-leaf clovers Nathaniel will find.
Answer:
Sham Rock is searching for a four-leaf clover in a field. He finds 2 four-leaf clovers during the first 12 minutes of his search. If Sham spends a total of 180 minutes searching in the field, predict the number of four-leaf clovers he will find.
Step-by-step explanation:
Mother mixed cream and milk in the ratio of 2 parts cream to 3 parts milk. How many cups of each are needed to have 80 cups of mixture?
Answer:
Cream = 32 cups
Milk = 48 cups
Step-by-step explanation:
Here, we want to share the ratio
The ratio here is 2:3
cream: milk
For cream;
2/5 * 80 = 32 cups
For milk;
3/5 * 80 = 48 cups
what is the value of the expression 1/2(12.g)-h when g=1/4 and h=1/2
Answer:
1
Step-by-step explanation:
1/2(12.1/4)-1/2
1/2(3)-1/2
1.5-0.5
1
Answer:
1
Step-by-step explanation:
did it on time4learning
What is the answer to -7/8 × (-7/5) ???
Answer:
The answer is [tex] \frac{49}{40} .[/tex]
Answer:
1.225
Step-by-step explanation:
i just used a calculator
HELP ILL MARK YOU BRAINLIST
Answer:
-2
Step-by-step explanation:
You can see that when x goes up by 1, y goes down by 2. This means the rate of change is -2
Answer:
The rate of change is -2
Step-by-step explanation:
Take any two points from the graph. (0,-4) and (-2,0). Plug them into the equation y2-y1/x2-x1. In this case the equation would be 0--4/-2-0. Simplify this and get 0+4/-2-0. Simplify again and get 4/-2 which is -2
Therefore the rate of change is -2
Hope this helps
A photograph of a full moon is enlarged so that the diameter appears 2 times larger. How much larger
does the circumference of the moon appear?
Answer:
ans 3
Step-by-step explanation:
Circumference is distance round a figure. When diameter is trippled, the circumference will also tripple.
Here is a proof
Take the moon to have circular shape and has diameter d
Circumference is given by C=πd
When the new diameter is trippled, diameter will be 3d and the new circumference will be
C=π3d=3πd
Evidently, the new circumference is three times the original circumference. Therefore, for this case, the new circumference will be 3 times the original
Alice got a 8% rise in salary from last year. This year she is earning $ 40,120. How much did she make last year?
Answer:
Step-by-step explanation:
Let x be last year's salary.
100%x + 8/100 x = 40120
100x/(100) + 8/100x = 40120
108x/100 = 40120
1.08x = 40120
x = 40120/1.08
x = 37148.14
Now if you take 8% of 37148.14 = 2971.85
And add it to 37148.14
You should get the current earning 40119.99
You are within a penny of the same answer. This question will not work out evenly because 1.08 does not divide evenly into 40120.
I am giving highest points no fake answers or I will report
Answer:
450 more yards
Step-by-step explanation:
Answer:
4530
Step-by-step explanation:
He skated around 3 times: 250(3)= 750
He's skated 750 yards so far.
There are 1760 yards in a mile
three mies= 5280
5280-750= 4530
Which statement is true about slope of the graphed line?
Answer:
A. the slope is negative
Step-by-step explanation:
the slope is going down so it is negative
Answer:
A
Hope this helps if not then let me know!
3) This table represents the price of milk for various years. What is the percent of increase from 1980 to 2010 1 Year Price 1980 $1.60 1990 $2.15 2000 $2.78 2010 $3.59
Answer:
124.375% increase
Step-by-step explanation:
From 1980 to 2010 there was a 124.375% increase
Graph the inequality y<-1/3x+6.
Answer:
first point will be at (0, 6)
then from there you want to go down 1 and to the right 3 times also go up 1 and to the left 3 times (do that until you fill up your graph)
the map ratio of a map is 1: 50000. find the length on the ground represented by 6.4cm on the map
Answer:
320,000
Step-by-step explanation:
6.4cm on the map would be 320,000 (ft I'm assuming) and I found that by multiplying 50,000x6.4.
Diego wrote 6/4 * 8/3 =48/4 .Explain what's Diego's mistakes was and how you know the equation is not true.
Look at the denominator. Diego did not multiply 4 times 3. He simply carried 4 into the product.