Answer: $13875
Step-by-step explanation:
The interest in capital for X will be:
= 10% × $50000
= $5000
The interest in capital for Y will be:
= 10% × $30000
= $3000
The total amount credited to Y's current account will be:
= 3000/(3000 + 5000) × $37000
= 3/8 × $37000
= $13875
The total amount credited to Y's current account at the end of the year will be $13875
What is the surface area of the right prism?
92 ft2
46 ft2
48 ft2
70 ft2
(will mark brainliest <3)
=========================================================
Work Shown:
L = 8 ft = lengthW = 3 ft = widthH = 1 ft = heightSA = surface area of the rectangular prism (aka block or box)
SA = 2*(LW + LH + WH)
SA = 2*(8*3 + 8*1 + 3*1)
SA = 2*(24 + 8 + 3)
SA = 2*(35)
SA = 70 square feet
This is the amount of wrapping paper you would need to cover all six sides of the box. This assumes that there are no gaps or overlaps.
what is the area of the figure below?
Answer:
D. 72 [tex]in^2[/tex]
Step-by-step explanation:
The square is 36 in2
The 2 triangles are both 18 in2.
36+18+18=72 in2
I hope this helps!
pls ❤ and give brainliest pls
Answer:
Area is 72 in²
Step-by-step explanation:
= Area of three triangles + area of square.
[tex]{ \bf{ = 3 \times ( \frac{1}{2} b \times h) + (s \times s)}}[/tex]
substitute:
[tex]{ \sf{ = ( \frac{1}{2} \times 6 \times 6) + 2( \frac{1}{2} \times 6 \times 3) + (6 \times 6)}} \\ = { \sf{18 + 18 + 36}} \\ = { \sf{ {72 \: in}^{2} }}[/tex]
Help Pls if you want!!!!
Answer:
Its 2.5 percent ladd enjoy
Step-by-step explanation:
Answer:
2 per team and 2 left
Step-by-step explanation:
10 can't split into 4 evenly so, you can only give 2 to each team causing there to be 2 left.
4*2 = 8
10-8 = 2
Hey I want to make sure my answer for this question is right I think the answer is A but I want to e sure I did it right ༼ つ ◕_◕ ༽つ
Answer:
The correct choice is option C. 4xy√3y
Step-by-step explanation:
√12x^2y^3 + 2xy√3y
√12x^2y^3 = 2√3 xy√y
2xy√3y = 2√3 xy√y
2√3 xy√y + 2√3 xy√y
= 4√3 xy√y
= 4xy√3y
What set of number does the following number belongs to? (1.1A.1a) -√5
Answer:
irrational
Step-by-step explanation:
See the image for a Venn diagram illustrating relationships among the various subsets of real numbers.
if f(x+1)=3x+4,find f(x) and f(3).
f(x+1)=3x+4
Let y be x+1 So x=y-1[tex]\\ \sf\longmapsto f(y)=3(y-1)+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y-3+4[/tex]
[tex]\\ \sf\longmapsto f(y)=3y+1[/tex]
[tex]\\ \sf\longmapsto f(x)=3x+1\checkmark[/tex]
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto 3(3)+1[/tex]
[tex]\\ \sf\longmapsto 9+1[/tex]
[tex]\\ \sf\longmapsto 10[/tex]
Boston wheel chair marathon how long would it take to run a 30 mile race
Which equation is a direct variation function?
y = x
y = 4
y = x2
y = 1/4 x + 2
Answer:
Two choices are correct answer.
y = x and y = 1/4 x
Step-by-step explanation:
We have given four equations.
We have to choose the equations that are direct variation function.
Direct variation function is defined as the relation where one variable vary constant times to the other variable.
let two variables are x and y.
y = kx where k is constant.
Comparing given equation , we notice that
y = x is direct variation function where k = 1.
y = 1/4 x is direct variation function where k = 1/4.
Tanisha has 7 less than 4 times as many
toy cars as Fernando. If Tanisha has 9
cars, how many toy cars does Fernando
have?
a. 2 toy cars
b. 4 toy cars
c. 8 toy cars
d. 29 toy cars
help!
Answer: D is my guess.
Step-by-step explanation:
If you multiply those two number and subtract it by tanisha that probably is your answer if I'm incorrect I'm sorry hopefully this helped
Find m/ELM if m/ELM = 15x - 1, m/KLE = 20°, and m/KLM = 17x - 1.
Answer:
∠ ELM = 149°
Step-by-step explanation:
∠ KLM = ∠ KLE + ∠ ELM , substitute values
17x - 1 = 20 + 15x - 1
17x - 1 = 15x + 19 ( subtract 15x from both sides )
2x - 1 = 19 ( add 1 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Then
∠ ELM = 15x - 1 = 15(10) - 1 = 150 - 1 = 149°
-8(.75)-2(5+-4-4-4)+7(5)(5)
Answer:
183
Step-by-step explanation:
-8(.75)-2(5+-4-4-4)+7(5)(5)
-8(.75) = -6
-6-2(5+-4-4-4)+7(5)(5)
(5+-4-4-4) = (-7)
-6-2(-7)+7(5)(5)
7(5)(5) = 175
-6-2(-7)+175
-2(-7) = 14
-6+14+175=183
PLEASE HELP!!!! The total yield of rice in a farm is 10^8 kg, and the land is10^5 km. What is the output of rice every km? (the answer has to be in exponential form)
Answer:
10^3 kg
Step-by-step explanation:
Think about it that you have the total yield 10^8 kg of rice from 10^5 km^2 of land. You now only want How much does 1 km^2 of land produce. Which can be shown as
10^8/10^5=??/1. To get the denominator to equal one you divide the top and bottom of the first problem by 10^5. 10^8/10^5 is 10^3. So it's 10^3 kg
Answer:
Since −13 is a proper fraction, it cannot be written as a mixed number.
Ian drives an electric car. He can drive 425 kilometres before he needs to stop and recharge his car. It takes 10 minutes to charge 50 kilometres. How long does Ian have to wait for his car to fully charge?
Answer:
85 minutes
Step-by-step explanation:
425/50=8.5 10 minute increments
8.5*10= 85 minutes
Graph the inequality on a separate sheet of paper. Then explain how you would determine if(-1,-4) is a solution by
looking at the graph.
Step-by-step explanation:
Looking at the graph, if you plot the point (-1,-4) you'll see that the point is on the area(red one, in the graph I attached) the graph covers, you can also put x=-1 and y=-1 to check if it's true or not
In a 4-digit perfect square, the first two digits are the same, and the last two digits are also the same. What is the value of this 4-digit number?
Answer:
7744Step-by-step explanation:
Let the number is in the form of aabb.
We can put it as:
aabb = 11*(100a + b) = 11*(99a + a + b)The number is a perfect square so it must be divisible by 11.
It is divisible by 11 if (a + b) is divisible by 11..
On the other hand, b = 0, 1, 4, 5, 6, 9 as the last digit of a perfect square.
Also, both a and b must be within (0,9) interval.
Considering the above conditions we have options:
a,b = 2,9 or 5,6 or 6,5 or 7,4The numbers are:
2299556666557744By testing we confirm only one of them is a perfect square:
7744find the measure of the indicated angle to the nearest degree
Answer:
39.401
Step-by-step explanation:
Find the area of ABCD
Answer:
Applying Heron's Formula
[tex]s=\frac{2.89+4.3+6.81}{2}[/tex]
[tex]s_1=7[/tex]
[tex]A_1=\sqrt{7(7-2.89)(7-4.3)(7-6.81)}[/tex]
[tex]A_1=10.56[/tex]
Now, [tex]s_2=\frac{6.81+8.59+7.58}{2}[/tex]
[tex]s_2=11.49[/tex]
[tex]A_2=\sqrt{11.49(11.49-6.81)(11.49-8.59)(11.49-7.59)}[/tex]
[tex]A_2=24.69[/tex]
Total Area:
[tex]10.56+24.69[/tex]
[tex]=35.25[/tex]
OAmalOHopeO
Fill in the missing number in the equation.
Drop down answers: -2, 8, 15, or It is not possible to find the answer
9514 1404 393
Answer:
8
Step-by-step explanation:
The matrix being multiplied is the same in all cases, so we can "collect terms" in the usual way.
3A +5A = (3+5)A = 8A . . . . . . where A represents the 2×2 matrix
The missing number is 8.
Which of the following rules describes the function graphed below?
Answer:
D
Step-by-step explanation:
Output = 3*input - 2. Observe the graph again
16x + 90 = 2 ( 10x + 5 ) answer
Answer:
x = 20
Step-by-step explanation:
[tex]16x+90=2(10x+5)\\\\16x+90=20x+10\\\\90=4x+10\\\\80=4x\\\\20=x[/tex]
Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP
Answer:
70 feet
Step-by-step explanation:
If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.
One of the legs of a right triangle measures 11 cm and its hypotenuse measures 13 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
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Answer:
17.02939
Step-by-step explanation:
Suppose h” is continuous at x = 2,h' (2) = 0, and h” (2) < 0.
What can you say about the behavior of h at X = 2?
Answer:
Hello,
Step-by-step explanation:
h(x) has a minimum at x= 2. (h(x) is turning down at x=2)
I have suppose that h''(2 + ) <0 and h''(2 -) <0
1. The weight, wky, of a bag of sand is given as 5.6 kg correct to
1 decimal place. Find the range of values in which the actual
weight lies.
Answer:
5.56
Step-无by-step explanation:
which statement is true
help me with this question of O math
Answer:
domain is { - 1, 0, 1 }
Step-by-step explanation:
The domain are the values of the input x
Substitute the value from the range y into the equation and solve for x
y = 1
2x + 3 = 1 ( subtract 3 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
-------------------------------
y = 3
2x + 3 = 3 ( subtract 3 from both sides )
2x = 0 , then
x = 0
-------------------------------
y = 5
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Then the domain is { - 1, 0, 1 }
find the coefficient of mt in the expansion of 4m(3n-2t)+3t(3t-2m)
Answer:
-14
Step-by-step explanation:
12mn-8mt+9t²-6mt
12mn+9t²-14mt
the coefficient of mt is -14
The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m) will be -14.
What is expansion?Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.
When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.
In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.
In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.
Given that
⇒ 4m(3n-2t)+3t(3t-2m)
⇒ 12mn -8mt + 9t² - 6mt
⇒ 12mn + 9t² + 14 mt
Hence it's clear that the coefficient of mt will be -14.
For more information about the expansion
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Let g(x) = f (x+1) - 2, find when g(x) = 12
I don't know how to evaluate this since I have both g(x) and an f(x).
Answer:
f(x +1 ) =14
Step-by-step explanation:
12= f(x +1) -2
f(x +1) = 12 +2
f (x+1 ) = 12
SOMEONE HELP ME PLEASE
Answer:
Step-by-step on:ơ
For which of the following do you need to change the final y to i before adding the suffix?
say + -ing
happy + -ness
enjoy + -ment
play + -er