Answer:
The amount of money he should invest in a 1-year deposit is $3,333.333
The amount of money he should invest in a 2-year deposit is $4,333.333
The amount of money he should invest in a 3-year deposit is $8666.67
Step-by-step explanation:
The given parameters are;
Total investment = $12,000
Total interest = $600
Interest rate = r
Amount invested in a 2-year deposit, B = $1,000 + Amount invested in a 1-year deposit, A
Amount invested in a 3-year deposit, C = $12,000 - (A + B)
C = 12000 - 2·B + 1000 = 13000 - 2·B
∴ A + B + C = $12,000
A×r + 2×r×B + 3×r×C = $600
∴ r×(A + 2·B + 3·C) = $600
r×(12000 + B + 2·C) = $600
B = A + 1000
∴ r×(B - 1000 + 2·B + 3·(13000 - 2·B) = $600
r×(B - 1000 + 2·B + 3·(13000 - 2·B) = $600
r×(38000 - 3·B) = $600
∴B + 2·C = -3·B
4·B = 2·C
C = 2·B
Hence;
B - 1000 + B + 2·B = $12,000
3·B = 13,000
∴ B = 13000/3 = [tex]\$4,333\tfrac{1}{3}[/tex] = $4,333.333
B = A + 1000
∴ A = B - 1000 = [tex]\$3,333\tfrac{1}{3}[/tex] = $3,333.33
C = 2×B = [tex]\$8,666\tfrac{2}{3}[/tex] = $8666.67
Therefore;
The amount of money he should invest in a 1-year deposit = $3,333.333
The amount of money he should invest in a 2-year deposit = $4,333.333
The amount of money he should invest in a 3-year deposit = $8666.67.
Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14
for te. Round to the nearest inch.
12 inches
24 inches
38 inches
46 inches
Answer:
12 inches
Step-by-step explanation:
2(3.14)r=75
r = 11.94 ~ 12 inches
Answer:
The answer is A
Step-by-step explanation:
A bucket contains 10 balls numbered as follows: 1, 2, 2,3,3,3,3,4,4,5. A
single ball is randomly chosen from the bucket. What is the probability of
drawing a ball numbered 3?
Answer:
4/10 or 40%
Step-by-step explanation:
there are 4 balls with the number 3. 4 balls out of 10. 4/10.
Answer:
1000000000000000000000000000000000000000000000%
Step-by-step explanation:
idk I cant count sooooo....
Find the probability that a point in the figure chosen at random is in the
shaded kite. *Remember, the are of a kite is found by one half of diagonal
1 times diagonal 2. *
A)1/3
B)1/4
C)3/4
D)1/2
Answer:
Correct option: D) 1/2
Step-by-step explanation:
First we need to find the area of the kite and the area of the rectangle.
The diagonals of the kite are 16 and 12, as they are parallel to the sides of the rectangle.
So the area of the kite is A1 = (1/2) * 16 * 12 = 96
The area of the rectagle is the product of the sides, so A2 = 16 * 12 = 192
Now, to find the probability of a random point being inside the kite, we just need to divide the area of the kite by the area of the rectangle:
Probability = A1 / A2 = 96 / 192 = 1/2
Correct option: D)
Find the number if:
4.5% of it is 23% of 4
Answer:
20.4
Step-by-step explanation:
Solve for c.
–4c − 9 = –3c
c =
Look at the attached picture
Hope it will help you
Good luck on your assignment
One of the altitudes of the parallelogram shown is the square root of 22.5. What is the other altitude?
Answer:
Step-by-step explanation:
In this nuclear reaction equation, oxygen decays to form nitrogen. Which equation correctly describes
this decay?
O 150 N + e
o 150+ e TN
o 150 N+
o 150 → N+
Answer:
A. 150 N + e
Step-by-step explanation:
Im smart pls mark brainliest.
Brainliest question please help me now I need it now plz
What is the equation in slope intercept form of the line that has a slope of -3 and passes through the point (0,5)
6 x - 16.7 equals what please help
Answer:
- 100.2
Step-by-step explanation:
6 x(-16.7)
6 x [tex]\frac{-167}{10}[/tex]
6 x(-167) = - 1002
-1002/10 = - 100.2
Please solve this with an explanation. will mark as brainiest.
Answer:
[tex]236cm^2[/tex]
Step-by-step explanation:
[tex]A=2(wl+hl+hw)=2*(5*2+3*2+3*5)=62cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*3+3*3+3*3)=54cm^2[/tex]
[tex]62+78+78+54=272cm^2[/tex]
What is the measure of angle DBA?
Answer:
DBA =110 degree
Step-by-step explanation:
angle DBA is central angle
central angle = arc angle = 110 degree
Answer:110
Step-by-step explanation:
Caroline divides by 8, then adds 9 to get an answer of 12. What was the original number?
Answer:
Original number = 24
Step-by-step explanation:
Look at the picture
I need help with this
Answer:
86 degrees
Step-by-step explanation:
Triangles add up to 180 degrees.
57 + 37 + x = 180
94 + x = 180
Subtract 94 from both sides.
x = 86
Given the letters from the word: RESPONSIBILITY, what is the probability of choosing one letter and getting an "I"?
letter of i's/number of letters in the word
3/14
Name all factors of x3 – 3x2 – 10x.
El resultado de las operaciones 5/3 + 17 / 51-14 / 21 es
Answer:
4/3
Step-by-step explanation:
encontrar el mínimo común denominadorienes para que sea mas facil
5/3+17/51-14/21 es 5/3 + 1/3 -2/3 cuando todos son igual de los denominados.
Ahora escribi todos los 3 numeros que iguale lo mismo denominador
5+1-2/3
Ahora solo hace el mas y menos y esta listo
4/3 es lo que pasa cuando haces las operaciones.
The two prisms below are similar. What is the value of x?
30
A. 3
B. 9
C. 1
D. 30
SUBMIT
Only 1/9 enrolled students in a school were absent. There were 4512 students present. How many students are enrolled in the school?
Answer:
5076.
Step-by-step explanation:
Let x be the number enrolled, then:
x - 1/9 x = 4512
8/9x = 4512
x = 4512 * 9/8
x = 5076.
a hexagon has 5 sides measured as 115 , find the sixth side
Answer:
31
Step-by-step explanation:
115 divided by 5 equals 31 and each side measures 31 so the 6th side measures 31
or
Angle sum of hexagon is 720 .
So,116*5(5 side are given)
=580
580+x=720 (x is the sixth side of hexagon)
x=720-580
=140°
3 + 2x ≥ -4 solutions
Answer:
x ≥ -7/2
Step-by-step explanation:
3 + 2x ≥ -4
Subtract 3 from each side
3-3 + 2x ≥ -4-3
2x ≥ -7
Divide each side by 2
2x/2 ≥ -7/2
x ≥ -7/2
Steps to solve:
3 + 2x ≥ -4
~Subtract 3 to both sides
3 - 3 + 2x ≥ -4 - 3
~Simplify
2x ≥ -7
~Divide 2 to both sides
2x/2 ≥ -7/2
~Simplify
x ≥ -3.5
Best of Luck!
What’s the area of the shape ?
I NEED HELP FAST
Which statement about the point (0, 5) is true?
It is on the origin.
It is in Quadrant I.
It is on the x-axis.
It is on the y-axis.
Answer:
(0,5) is on the y-axis
Step-by-step explanation:
Since the x value is 0, it is not left or right of (0,0), thus it does not leave the y-axis. Since its y-value Is 5, it goes up 5 units from (0,0) but still it does not leave the y-axis.
Answer:
it is on the y-axis
Step-by-step explanation:
What is 84/100 simplifyed
Answer:
0.84
Step-by-step explanation:
84/100=0.84
hope its right
Answer:
21/25
Step-by-step explanation:
84/100 divide by 4= 21/25
After solving a quadratic equation using the quadratic formula, what do the 2 solutions mean?
Answer:
those are your two answers
Step-by-step explanation:
A corporation produces packages of paper clips. the number of clips per package varies, as indicated below for a sample of 20 packages. 48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50 create a histogram. how many packages contain between 48 and 52 clips (inclusive) per package
Answer:
- The histogram of this distribution is presented in the attached image to this answer.
- The number of packages that contain between 48 and 52 clips (inclusive) per package = 17
Step-by-step explanation:
To create an histogram, we need to properly present the right solutions to angry mob.
The number of clubs per package is presented as thus
48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50
In an organized home, the data is reset to the number of clubs per passport and corresponding video is done
x | f
47 | 1
48 | 3
49 | 4
50 | 4
51 | 3
52 | 3
53 | 2
The histogram of this distribution is presented in the attached image to this answer.
- The number of packages that contain between 48 and 52 clips (inclusive) per package
From the data table, it is evidently 3+4+4+3+3 = 17
Hope this Helps!!!
2(q–8)< – 10 solve for q
Answer:
[tex] = q < 3[/tex]
Step-by-step explanation:
[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 + 16 \\ 2q < 6 \\ \frac{2q}{2} < \frac{6}{2} \\ q < 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is the answer to the second question and third question
Answer:
2. 9:45
3. 2:30
Step-by-step explanation:
Express x^2-5x+8 in the form (x-a)^2+b
Answer:
x^2 - 5x + 8 = (x - 5/2)^2 + 7/4
Step-by-step explanation:
(x - a)^2 + b = x^2 - 2ax + a^2 + b
equate to your quadratic :
x^2 - 5x + 8 = x^2 - 2ax + (a^2 + b)
equating coefficients (ignoring x^2 as the coefficient is 1 for both)
for x :
-5 = -2a --> a = 5/2
for x^(0) : 8 = a^2 + b , note a = 5/2
thus,
8 = (5/2)^2 + b
8 = 25/4 + b
b = 8 - 25/4 = 32/4 - 25/4 = (32 - 25)/4 = 7/4
hence a = 5/2 , b = 7/4
thus,
x^2 - 5x + 8 = (x - 5/2)^2 + 7/4
Solve the equation 4x² +7x-2=0.
Answer:
x+11.5
Step-by-step explanation:
4x² +7x-2=0
16x+7x-2=0
23x-2=0
+2 +2
23x=2
23x/2
x= 11.5
I hope these help.