Answer:
$1,826
Step-by-step explanation:
Given that
The amount invested is $1,200
The annual rate of interest is 6%
And, the time period is 7
We need to find the value of the account after 7 years in the case of compounded continuously
We know that for compounded continuously, the following formula should be used
= Amount invested ×e^(rate, time)
= $1,200 × e^(0.06 ×7)
= $1,200 × e^0.42
= $1,826
What is the mean of 53,13,34,41 26,61,34,13,69?
*35 BRAINLY POINTS! BRAINLIEST TO THE FIRST CORRECT PERSON!*
The table below shows the cost of a pizza based on the number of toppings. (attached)
Which function represents the cost of a pizza with n toppings?
C(n) = 12 + n
C(n) = 1.5n + 12
C(n) = 12 + 1.5(n – 1)
C(n) = 12n
Answer:
C(n) = 12 + 1.5(n – 1)
Step-by-step explanation:
A triangle has an area of 153.79 square centimeters and a base of 18.2 centimeters. What is the height?
Answer:
16.9
Step-by-step explanation:
Find the values of x and y
Answer:
x = 54, y = 63
Step-by-step explanation:
117° and the left base angle are adjacent and sum to 180°
base + 117° = 180° ( subtract 117° from both sides )
base = 63°
Since the triangle is isosceles ( congruent legs ) then the 2 base angles are congruent , so y = 63
and x = 180 - (63 + 63) ← sum of angles in a triangle
x = 180 - 126 = 54
1 and 2 are complementary angles. The measure of 1 is 62 degrees. The measure of 2 is 2x degrees. Find the value of x. The figure is not drawn to scale. The value of x is ?
A sphere fits inside a cube with the sphere's diameter equal to the width of the cube, 20 centimeters. What is the volume of the cube not filled by the sphere? Round to the nearest cm³
A) 3813cm³
B) 3225cm³
C) 4079cm³
D) 3546cm³
The volume of the cube not filled by the sphere is 3811.209. Option A is the correct.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic m.
The volume of sphere is found as;;
[tex]\rm V_{sphere}= \frac{4}{3} \pi r^3 \\\\ V_{sphere}= \frac{4}{3} \times 3.14 (10)^3 \\\\ V_{sphere}= 4188.79 \ cm^3[/tex]
The volume of cube is found as;
Volume of cube = Length x width x height
Volume of cube =20 x 20 x 20
Volume of cube = 8000
The volume of the cube not filled by the sphere is found by subtract the volume of the cube by the volume of the sphere.
V=8000 - 4188.790205
V = 3811.209
The volume of the cube not filled by the sphere is 3811.209.
Hence, option A is the correct.
To learn more about the volume, refer to the link;
https://brainly.com/question/13338592
#SPJ2
Select all the true statements.
A. 2 + (−2) is equal to zero.
B. (−3) + (−4) is positive.
C. −2 − (− 2) is positive.
D. 5 + (−2) is positive .
E. 7 − (−10) is negative.
Answer:
A and D
Step-by-step explanation:
Answer:
A. 2 + (−2) = 2 - 2= 0, true.
B. (−3) + (−4) = - 3 - 4 = -7 is negative, False
C. −2 − (− 2) = -2 + 2 = 0, neither positive nor negative, false.
D. 5 + (−2) = 5 - 2 = 3,is positive true.
E. 7 − (−10)= 7 + 10 = 17 is psoitive, false
options : A, D
a fair coin is flipped 7 times what is the probability of getting all heads
Answer:
1 in 128
I know if you flip a coin 7 times, the odds of getting 7 heads in a row is 1 in 27 or 1 in 128.
Step-by-step explanation:
A 300-inch board is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
The shorter piece is
inches long
Answer:
60 inches
Step-by-step explanation:
The length of shorter piece is = 1/5 × 300 = 60 inches
What is the leg rule
Answer:
The right triangle altitude theorem or geometric mean theorem is a result in elementary geometry that describes a relation between the lengths of the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse.
Step-by-step explanation:
Was definetly not copy and pasted from g.o.o.g.l.e. no siree
.) A store receives 8 boxes of picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 frames left that can be sold. The store manager wants to know how many frames are in each box. ) Write an equation
Answer:
There are 6 boxes
Step-by-step explanation:
We know there are 45 frames and 3 broken ones, so there are 48 frames in total.
We know there are 8 boxes that have the frames.
let x equal the amount of picture frames in a box
8x=48
8x/8 = 48/8
x=6
Which of the following functions translates the graph of the parent function
f(x)=x2f(x)=x2
horizontally left 8 units?
Answer:
(x + 8)^2
Step-by-step explanation:
f(x) ----> f(x + 8)
A car travels 60 miles in 50 minutes. Calculate the average speed of the car in mph.
Answer:
1.2mph
5x10=50
so it 1
if 2x5=10=.2
then 2x5=10+50=1.2 due to the .1=5
or just do 60/50=1.2
Step-by-step explanation:
Round 8.157 to the nearest hundredth.
Answer:
I believe the answer is 8.16 pardon me if it's wrong.
Answer:
8.18
Step-by-step explanation:
First, note that 8.175 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:
Integer Part: 8
Fractional Part: 175
To round 8.175 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part.
We use the following rules to round 8.175 to the nearest hundredth:
A) If the last digit in the fractional part of 8.175 is less than 5, then simply remove the last the digit of the fractional part.
B) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.
C) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.
D) If the last digit in the fractional part of 8.175 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00.
With 8.175, rule B applies and 8.175 rounded to the nearest hundredth is:
8.18
Let u = <3. 3> and v = < 11. 8>. Find u + v.
Plssss help me!
Answer:
<13, 11>
Step-by-step explanation:
What is the area of kite ABCD?
Answer:
72 square cm
Step-by-step explanation:
Area for a kite can be found by A=pq/2
p = 9
q = 16
(9)(16) = 144
144/2 = 72
1. Which of the following represents the perimeter of a square whose diagonal measures 10 centimeters?
Answer:
20√2 cm
Step-by-step explanation:
The required perimeter of the square is 20√2 cm.
hii! please help asap. i’ll give brainliest
Answer: B
Step-by-step explanation:
Help me! The question is in the image
There are 6 red marbles 4 blue marbles to yellow marbles. Sabrina picks 2 marbles without putting the first one back what is the probability that she picks a not yellow marble and then a blue marble.
Answer:
P = 3/11
Step-by-step explanation:
There are:
6 red marbles
4 blue marbles
2 yellow marbles.
So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.
We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.
Now there are two cases.
The first marble is red and the second blue
the first marble is blue and the second blue
We need to find the probability in each case.
The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)
p = 6/12
Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)
q = 4/11
The joint probability is equal to the product of the individual probabilities, then:
P₁ = p*q = (6/12)*(4/11) = 2/11
And for the other case, we draw two blue marbles:
For the first draw, the probability is:
p = 4/12
And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:
q = 3/11
The joint probability is:
P₂ = (4/12)*(3/11) = 1/11
The total probability is then:
P = P₁ + P₂ = 2/11 + 1/11 = 3/11
Help with this problem pls
Answer:
16 kg/cm^2
Step-by-step explanation:
200cm^3=32kg/cm^2
1cm^3=32/200 kg per cm^2
So,100cm^2 =(32/200)x100
=16cm/kg^2
Which lines must be parallel?
Answer:
The answer is option A) r and s
In the diagram below, 'AB is parallel to cd. What is the value of y?
60 jdfjbdjdjdjd ah inebauwkwhiwiwnais
Answer:
60
Step-by-step explanation:
I need help on this
Answer:
1200
Step-by-step explanation:
Step 1 convert pounds to ounces
1 pound = 16 ounces
So to convert pounds to ounces we multiply by 16
1500 * 16 = 24000
So there are 24000 ounces in 1500 pounds
Step 2 Find how many 20 ounce containers he can fill.
To find out how many 20 ounce containers he can fill we divide the total amount of ounces of butter that he has by 20
So answer = 24000/20
24000 / 20 = 1200
Therefore he can fill 1200 20 - ounce containers
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
5 N towards north I think
Step-by-step explanation:
HURRY IM BEING TIMED! The line of best fit for this scatter plot shows the relationship between the average temperature and the monthly electricity bill at Jenny’s house.
Answer:
[tex]y = \frac{11}{8}x + 50[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
The line of best fit
From the attached plot, we have:
[tex](x_1,y_1) = (0,50)[/tex]
[tex](x_2,y_2) = (80,160)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{160 - 50}{80-0}[/tex]
[tex]m = \frac{110}{80}[/tex]
[tex]m = \frac{11}{8}[/tex]
The line of best fit is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = \frac{11}{8}(x - 0) + 50[/tex]
[tex]y = \frac{11}{8}x + 50[/tex]
Answer:
The electricity bill will be about $200 when the average temperature reaches 100°F.
Can somebody please help me
Answer:
39
Step-by-step explanation:
78/2 = 39
Brendan is adding to his book collection. He buys 6 books for $15 each. How much money does Brendan spend on the books?
hey! please help i’ll give brainliest
Answer: A goverment by people
Step-by-step explanation:
What is the distance between the two points 5,3 and (1,0)?
Answer: The distance between (5,3),(1,0) is 25units square.
Step-by-step explanation:
So, I usually plot the points, and conect them first.
And then I draw a right triangle, so draw two line that conect to the line that we need to find the distance, and form a triangle. Make sure that the line from point (5,3)(1,0) is the Pythagorean triples.
Next, you count the units of the two line that makes a right angle. which is 4 units for the first line, and 3 units for the second.
Thirdly, you plug the numbers into the Pythagorean equation, which is a^2+b^2=c^2 (plug it into a and b, it doesn't matter which number for which letter)
4^2+3^2=c^2
16+9=c^2
25=c^2
[tex]\sqrt{25}[/tex] = [tex]\sqrt{c}[/tex]
c=25
My explanation is kinda confusing, sorry about that.