Answer:
The rate at which the $1000 is invested is 4%.
Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.
Step-by-step explanation:
Amount invested = $1000
Total interest income over the course of 3 years = $120
Number of years = 3
Annual interest income = Total interest income over the course of 3 years / Number of years = $120 / 3 = $40
The interest ate on the $1000 invested can now be calculated as follows:
Interest rate = (Annual interest income / Amount invested) * 100 = ($40 / $1000) * 100 = 0.04 * 100 = 4%
Therefore, the rate at which the $1000 is invested is 4%.
Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.
The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers.
a) set up the variables
Let _______ represent the first number Then _______ will represent the second number.
b) What is the equation that represents the above situation? c) Solve the equation.
Answer:
34 and 17
Step-by-step explanation:
x+y=51
2y=x
2y+y=51
3y=51
y=17
2(17)=x
x=34
The point A(−3,−8) is reflected over the point (2,0) and its image is point BB. What are the coordinates of point B?
Answer:
(7,8), i'm quite certain
What is X?*
7x - 4
5х + 12
8
10
52
64
Answer:
x = 8
Step-by-step explanation:
You know that 7x - 4 and 5x + 12 are equal, so you can set up an equation and solve it:
[tex]7x - 5 = 5x + 12[/tex]
subtract 5x from both sides
[tex]2x-4=12[/tex]
Add 4 to both sides
[tex]2x = 16[/tex]
divide both sides by 2
[tex]x = 8[/tex]
Answer:
7x - 4......1
5х + 12......2
on multiplying by 3 in eq 1
= 21x-12...3
on substracting eq 2 from 3
21x-12=0
-5x+12=0
=16x=0
x=1/16
sorry but I can't find your answer
but I tried...
Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.
Answer:
n=4
Step-by-step explanation:
7n - 4 = 24
24 + 4 = 28
7n = 28
n = 4
OR plug in the sets you gave and see if they equal 24
What is the slope of the line that passes through the points (-6,8) and (-16,33)? write your answer in the simplest form
Answer:
slope or m= -5/2
Step-by-step explanation:
A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a total of 156 legs. How many chickens does the farmer have?
Answer:
32 chickens
Step-by-step explanation:
Let
The number of cows = x
The number of chickens = y
A farm raises cows and chickens. The farmer has a total of 46 animals.
x + y= 46..... Equation 1
x = 46 - y
Number of legs of chickens = 2
Number of legs of cows = 4
One day he counts the legs of all his animals and realizes he has a total of 156 legs.
Hence:
2x + 4y = 156.... Equation 2
We substitute 46 - y for x in Equation 2
2(46 - y) + 4y = 156
92 - 2y + 4y = 156
- 2y + 4y = 156 - 92
2y = 64
y = 64/2
y = 32
Solving for x
x = 46 - y
x = 46 - 32
x = 14
The number of cows = x = 14 cows
The number of chickens = y = 32 chickens
Therefore, the number of chickens that the farmer has is 32 chickens
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
Answer:
Options A, B, C and D
Step-by-step explanation:
This question is not complete; here is the complete question.
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
A. 24
B. 36
C. 180
D. 240
E. 1656
Cost of one candy = 69 cents
Since, cost of 24 candies = Cost of one candy × Number of candies
= 69 × 24
For partial product,
69 × 24 = (60 + 9)(20 + 4)
= 60(20 + 4) + 9(20 + 4)
= 60×20 + 60×4 + 9×20 + 9×4
= 1200 + 240 + 180 + 36
= 1656
Therefore, Options A, B, C and D are not possible partial products.
Jenny wants to save $900 to go to Puerto Rico. She saves $45 each week. Her brother gives her $180. Write an equation to find how many weeks she must save. (I need the equation)
Answer:
45x + 180 = 900
x being number of weeks
Step-by-step explanation:
The equation that can be used to find the number of weeks is 180+45x = 900 and the number of weeks she must save the money is 16 weeks.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
The amount of money Jenny saved each week = $45
The amount her brother gives = $180
Total amount Jenny wants to save = $900
Let's suppose the number of weeks is x
180+45x = 900 (as she has already $180 and each week she saves is
$45)
So from the above equation, we can find the number of weeks.
After solving the equation:
45x = 900 - 180
x = 16 weeks
Thus, the equation that can be used to find the number of weeks is 180+45x = 900 and the number of weeks she must save the money is 16 weeks.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
PLEASE PLEASE HELP I AM TIMED! What is the domain and range of the function?
Answer:
Domain is; d is a set of non - zero integers.
Range will be p(d) for values of; d > 0 or d < 0
Step-by-step explanation:
In Mathematics, the domain is the set of all input values in a given function while range is the set of output values for each given input function.
Thus, looking at the function given;
p(d) = -(28.2/d) + 0.859
It is clear that if d = 0, we will have an undefined solution as any number divided by zero is undefined.
Thus, the domain is; d is a set of non - zero integers.
Range will be p(d) for values of; 0 < d < 0
jun swims 18 laps and Mara swims 25 laps. How many fewer laps did Jun swim than Mara ?
Answer:
7
Step-by-step explanation:
All you have to do to solve this is subtract 18 from 25
Answer:
7
Step-by-step explanation:
25-18=7
f(x) = -3x^2
Find f(-2)
9514 1404 393
Answer:
f(-2) = -12
Step-by-step explanation:
Put -2 where x is and do the arithmetic.
[tex]f(x)=-3x^2\\\\f(-2)=-3(-2)^2=-3\cdot4=\boxed{-12}[/tex]
tell whether each figure is a polygon. if it is a polygon, name it by the number of each sides.
Answer:
We know that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.
Therefore, the given polygon figure represents the Pentagon.
Step-by-step explanation:
It is clear that the given figure contains:
5 sides5 anglesA closed 2D shapeWe know that a closed 2D shape with 5 sides and 5 angles is called the Pentagon.
Therefore, the given polygon figure represents the Pentagon.
Please also note that the sum of interior angles in a Pentagon is 540°
A t-shirt costs $12. You have a 25% off coupon. How much will the t-shirt cost?
Answer:
The shirt would be $9 dollars because $3 dollars is 25% of 12.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
25%=/4
12/4=3
3*3to get 75%=9
3 pts
Solve the exponential equation. Round your answer
to the hundredths.
3 (2") = 48
Help plz
Answer:
22.5
Step-by-step explanation:
You subtract 3 from both sides and then divide 2 from both sides which should look like this
3(2x)=48
-3 -3
2x=45
-:- 2
x=22.5
Find the length of the segment with the end points (4,-3) and (7, 1) distance bridge math
please help and show work if you can I only need 10, 11 and 12
Answer:
Step-by-step explanation:
10). AD = BC [If ABCD is a parallelogram]
3x + 1 = 6x - 4
6x - 3x = 1 + 4
3x = 5
x = [tex]\frac{5}{3}[/tex]
11). If ABCD is a parallelogram,
AB = CD
5x - 8 = 2x + 7
5x - 2x = 7 + 8
3x = 15
x = 5
12). If ABCD is a parallelogram,
AB = CD
AB║CD and BD is a transversal intersecting these parallel lines.
∠ABD ≅ ∠BDC [Alternate interior angles]
4x - 1 = x + 38
4x - x = 38 + 1
3x = 39
x = 13
nobody answered this so i give up
Answer: um i answered so yah im bored can u talk???
Step-by-step explanation: ;)
1) Castel and Rob are selling cheesecakes for a school fundraiser. Customers can buy New York style
cheesecakes and apple cheesecakes. Castel sold 5 New York style cheesecakes and 6 apple cheesecakes
for a total of $85. Rob sold 6 New York style cheesecakes and 6 apple cheesecakes for a total of $90.
What is the cost each of one New York style cheesecake and one apple cheesecake?
Answer:
new York cheese cake $5
Apple cheese cake $10
Evaluate the expressions.
3 + x, when the value of x is 15.
Answer:
18
3+x (x=15)
so
3+15 =
18
Step-by-step explanation:
Answer: 18
Step-by-step explanation:
Please help me out if you answer you get brainliest and 50 points
Step-by-step explanation:
I believe month 10!! Hope this helps (and may not be correct)
Answer:
I KNOW THAT IN MONTH 4 THE VALUE PASSES THE GRADES FOUNDATION
ZHFJ is complementary with which other angle?
A349
Ав
56°
689
34° ]
124°
ZDEC
ZAEB
ZGFH
ZBEC
Answer:
BEC°
Step-by-step explanation:
complementary means "to add up to 90°"
90° - 34° = 56°
the Z confused me for a bit, then figured out you tried to type in the angle sign.
A, B & C form a triangle where ∠ BAC = 90°. AB = 4.3 mm and CA = 3.1 mm. Find the length of BC give your ANSWR rounded to 1 DP
Answer:
4.3^2+3.1^2= square root of 28.1= 5.3
Step-by-step explanation:
Matt decided to go out to eat. He ordered a soda for $2.15, some chicken for $8.77 and a slice of cake for $4.10. What would his entire bill be if he tipped his waiter 18%?
Answer: $ 17.72
Step-by-step explanation:
Cost of soda = $2.15 , Cost of chicken = $8.77 , Cost of slice of cake = $4.10.
Total bill amount = (Cost of soda ) + (Cost of chicken) +(Cost of slice of cake)
= $ (2.15 + 8.77 +4.10)
= $ 15.02
Tip amount = 18% of Total bill amount
= 0.18 (15.02)
= $ 2.7036 ≈ $2.70
Entire bill = Total bill amount + Tip amount
= $ ( 15.02+2.70)
= $ 17.72
Hence, entire bill = $ 17.72
Write 19/4 as a decimal
8. GradPoint question
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
A. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
B. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
C. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
D. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
Answer:
I'm sorry but I have no clue. Actually I think it's C.
Step-by-step explanation:
help me, please
. Which rate is about the same as 45 miles per hour?
A. 95 kilometers per hour
B. 72 kilometers per hour
C. 56 kilometers per hour
D. 32 kilometers per hour
Answer:
Option B.
Hey there!
According to the question,
45 miles per hour is given.
Then;
1 mile = 1.60 km
45 miles = 1.60*45
= 72 km.
Therefore, 45miles is equal to 72 km.
Hope it helps....
Find the slope of the line
Answer:
10??? sorrybi have no idea
Which is the best estimate of the mass of a skateboard.
a 3 liters
b 3 kilograms
c 30 grams
d 3 grams
Answer:
3 kilograms
Step-by-step explanation:
one is for liquids and the others are too small i think
Please answer this question
I
Write an equation of the line passing through the point (2, 3) and
PERPENDICULAR to the line y = -2x + 2.
Answer:
y= 1/2 x +7
the slope is 1/2 since hwne it's perpendicular, it's reciprocal and the sign also changes
Step-by-step explanation:
3= -4 +b
b= 7