Answer:
First, draw a rectangle and draw 3 lines going vertically. Then, draw the diagonal lines (shown in step 3) write the 4 digit number you are multiplying with the 1 digit number on top of the table (step 2) and multiply, when you are done multiplying, add the numbers vertically. Finally, you have your answer
Step-by-step explanation:
Nathaniel invested $2,900 in an account paying an interest rate of 5.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 11 years?
Answer:
5252.53
Step-by-step explanation:
Nathaniel would have in his account after 11 years an amount of $3076 and 99 cents.
What is compound interest?
Compound interest is the interest on a loan or deposit added to the original principal deposited or drawn and the accumulated interest from all the former periods.
What is the formula for finding the amount including compound interest?[tex]A=P(1+r)^{t}[/tex]
Where A is the total amount, P is the principal, r is the interest rate and t is the period.
P = $2900
r = 5.4% = 0.054
t = 11
We have to substitute this in the equation.[tex]A =2900(1+0.054)^{2}\\= 2900(1.0054)^{11}\\=2900(1.061)\\=3076.99[/tex]
Therefore, Nathaniel would have $3076 and 99 cents in his account after 11 years.
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please answer very ez but need halp
WILL GIVE BRAINLIEST
Answer:
28 cm²
Step-by-step explanation:
We are asked to find the surface area of the given square pyramid. To do this we can find the sum of the areas of each of the faces of the square pyramid, including the base.
Since this is a square pyramid, we know that each of the triangle faces of the pyramid have the same area, being the congruent triangles, and that there are 4 triangle faces.
Since this is a square pyramid, we know that the base of the pyramid is a square.
So to find the surface area we can multiply the area of one of the triangle faces by 4 and add it to the area of the square base. In other words:
(4 × area of triangle face) + area of square base = surface area
Lets start with finding the area of the square base. we are given that the side length of the base is 2 cm. Remember, the area of a square is:
s × s
or
s²
where s is the side length of the square.
Lets plug in 2 for s:
2 × 2 = 4
or
2² = 4
So the area of the square base is 4 cm².
Now lets find the area of the triangle side.
Remember, the area of a triangle is:
[tex]\frac{1}{2}(b*h)[/tex]
where b is the length of the base (not to be confused with the base of the pyramid) and h is the height.
We are given that the height of the pyramid is 6 cm and the base is 2 cm. Lets plug in 6 for h and 2 for b:
[tex]\frac{1}{2}(6*2)=\frac{1}{2}*12=6[/tex]
So the area of a triangle side of the pyramid is 6 cm².
Now lets find the surface area. To do this we can multiply the area of a triangle side of the pyramid by 4 and add the area of the square base. Remember, the area of the square base was 4 cm² and the area of the triangle side was 6 cm².
(4 × 6) + 4 = 24 + 4 = 28
So the surface area would be 28 cm²
I hope this helps. Let me know if you have any questions. Happy studying.
Yoo help a girl out!!! During a snowstorm, Robert tracked the amount of snow on the ground.
When the storm began, there was no snow on the ground. For the first 2
hours of the storm, snow fell at a constant rate of 1 inch per hour. The storm
then stopped for 5 hours and then started again at a constant rate of 2 inches
per hour for the next 6 hours. Make a graph showing the inches of snow on
the ground over time using the data that Robert collected.
Answer: Ok, so make a graph on paper. On the vertical line put inches of snow going up by one. Then your horizontal line should be hours. For the first two hours make the line go up steadily by one. Then make your line flat for five hours. Then for another six hours make the line go up by two per hour.
Please mark brainliest.
At Silver Gym, membership is $25 per month, and personal training sessions are $40 each. At Fit Factor, membership is $75 per month, and personal training sessions are $30 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answer:
5
Step-by-step explanation:
You start with each membership for each gym as your starting point, then you add the personal sessions to that number.
Silver Gym: 25 65 105
Fit Factor: 75 105
As you can see, it will take Sarah 5 sessions to have both costs equal
Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.
Answer:
C
Step-by-step explanation:
Divide 4 2/3 & 3 1/3. Simplify the answer and write it as a mixed number.
Answer:
4 2/3 ÷ 3 1/3= 1 2/5
Step-by-step explanation:
First, you turn the mixed terms into an improper fraction like this
4 2/3 → 14/3 because when you multiply 4 times 3 equaling 12 then having 2 then adding that you get 14/3.
3 1/3 → 10/3 because when you multiply 3*3=9 then having 1 and adding that you get 10/3.
Then, you do KCF which stands for Keep Change Flip so for this you would do: 14/3 ÷ 10/3 → 14/3 × 3/10
14 × 3 = 42 and 3 × 10= 30
Now being 42/30 this is considered an improper fraction in which you have to transform it into a mixed number like this:
(For this you need to find the greatest common factor)
42/30 → 42 and 30 greatest common factor is 6 because they are divisible and factor of 6.
Now you divide both the denominator and the numerator y 6 like this:
42 ÷ 6= 7
30 ÷ 6= 5
Now we have 7/5, this is still an improper number so we see how many times 7 can go to 5 which is once. So we have 1 as whole number, now we put the reminder as the numenator of the mix fraction keeping 5 as being the denominator.
Overall, We have our answer 1 2/5
I hope this helps :D
Find the area of a circle with a diameter 4. either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal
Answer:
Step-by-step explanation:
[tex]A=\pi r^2\\ \\ A=\frac{\pi d^2}{4},\ d=4\\ \\ A=\frac{16\pi }{4}\\ \\ A=4\pi[/tex]
PLEASE HELP ME
Write a polynomial, P(x), in factored form given the following requirements.
Degree: 5
Leading coefficient 1
Zeros at (1,0), (−9,0), (2,0) and (−2,0)
y-intercept at (0,−180)
The required polynomial is p(x) = x⁴ + 4x³ - 9x² -16x +20.
The required polynomial P(x), in the factored form given the following requirements.
Degree: 5
Leading coefficient 1
Zeros at (1,0), (−9,0), (2,0) and (−2,0)
y-intercept at (0,−180)
As per the Fundamental Principle of Algebra, must have 4 zeroes. These are given to be 1, -9, 2, -2
So factors of p(x) = (x -1), (x +5), (x-2), and (x+2)
p(x) = (x -1)(x +5)(x-2)(x+2)
p(x) = (x -1)(x +5)(x² - 4)
p(x) = (x² + 4x -5)(x² - 4)
p(x) = x⁴ + 4x³ - 9x² -16x +20
Thus, the required polynomial is p(x) = x⁴ + 4x³ - 9x² -16x +20.
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when 55 is added to a certain number and the sum is divided by 3 , the result is 4 times the original number what is the original number
Answer:
4.99
Step-by-step explanation:
i cant remember how i got 4.99 but can show u how to check
= 55 + 4.99 = 59.99
59.99 divide 3 = 19.99666667
= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)
= 4.99 (was rounded)
2 and 1/6 of a foot converted into inches as a fraction
Answer:
26 inches
Step-by-step explanation:
1 foot = 12 inches
Select the correct answer.
What is 60 as a product of its prime factors?
2x3 x 52
2x32 x 5
2x3 x 5
22 x 3 x 5
50 POINTS
What is 20÷(-10)
Answer:
20÷(-10) = -2
Please look at the picture and explain your answer thanks
Emmanuel invests $4,200 and Kelsey invests $2,800. Both investments earn 3.9% annual interest. How much longer will it take Kelsey's investment to reach $10,000 than Emmanuel's investment? If necessary, round to the nearest tenth.
It takes ____?____years longer for Kelsey's investment to reach a value of $10,000 than Emmanuel's investment.
Answer:
The answer is 7
Step-by-step explanation:
Which numbers are solutions of 3m < 4m + 5?
-10
-5
-2
8
i need two answers
Answer:
8 and -2
Step-by-step explanation:
3m < 4m + 5
Isolate the variable m
3m - 4m < 5
-m < 5
m > -5
Since m is greater than -5, on a number line, all the numbers to the right of -5 are included in the answer. This means that all numbers greater than 5 are included in the answer. These are -2 and 8.
What will the cost at the register be for a Playstation game that costs $59.99 with the 6% sales tax included?
Answer: $63.59
Step-by-step explanation:multiply $59.99 by 1.06
Please answer will give branliest eeeeeee
Answer:
Its b + 5
Step-by-step explanation:
if b is blue flowers, and 5 more green than blue, it means 5 more than blue. Getting b+5!!!
Answer:
b+5
Step-by-step explanation:
If she has b amount of flowers and 5 more yellow flowers than blue flowers, you add 5 flowers to the blue flowers and you get the yellow flowers.
Since we do not know the exact amount of blue flowers, we add 5 to b.
b+5
The diameter of a circle is 13 ft. Find the circumference to the nearest tenth.
Answer:
40
formula is pi × diameter
40.82
please help me i really need help please
Answer:
its C I have study abt it so donot worry it's c
1 Division euclidienne<br />Activite<br />11 pirates et leur chef doivent se partager 197 pièces d'or. Le chef<br />pirate affirme : « Chacun de nous aura le même nombre de pièces<br />et les pièces restantes seront ajoutées à ma part. »<br />1 Expliquer pourquoi chacun aura entre 10 et 20 pièces.<br />2 a. Recopier et compléter cette division.<br />b. En déduire le nombre de pièces d'or que recevra chaque pirate et le chef.<br />C d<br />1 9<br />-<br />3 Le lendemain, les 12 pirates trouvent un nouveau trésor composé de<br />2335 pièces d'or. Utiliser la touche (ou 2nde - de la calculatrice<br />pour trouver le nombre de pièces d'or que recevra chaque pirate et le chef.<br />Critères de divisibilité
the least common multiple of 80 and 17?
Show work
Answer:
the least common multiple is 1360
Step-by-step explanation:
The lcm of 17 and 80 is the smallest positive integer that divides the numbers 17 and 80 without a remainder. Spelled out, it is the least common multiple of 17 and 80. Here you can find the lcm of 17 and 80, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the lcm of 17 and 80, but also that of three or more integers including seventeen and eighty for example. Keep reading to learn everything about the lcm (17,80) and the terms related to it.
Choose all of the following that are inventions of Garrett A. Morgan:
(Check All that Apply)
A. the sewing machine
B. a better sewing needle
C. a hair straightener
D. a fireman’s hose
ENGLISH
Answer: he created a hair straighter product and an improved sewing machine
Step-by-step explanation:
That is English not math
Which expresses shows another way to write 36+16?
4(9 + 4), because :
4 * 9 + 4 * 4 = 36 + 16
I need help please!!I don’t want to fail again
9514 1404 393
Answer:
2/9 square yard
Step-by-step explanation:
You can see that the 1-yard square is divided into 18 rectangle. Of those, 4 are colored, so the fraction of the area that is colored is 4/18 square yard.
That fraction can be reduced by dividing 2 from each of those even numbers:
4/18 square yard = 2/9 square yard
The shaded area is 2/9 square yard.
Find the equivalent expression of 1/3
Answer:
..........
Step-by-step explanation:
1 = 1 × 2 = 2
3. 3×2. 6
A(3,0) B, (2,7) C(6,4)
What is the slope of line bc
Answer:
You go down 3 and right 4 to get from point B to point C
Step-by-step explanation:
-3/4
Which expression is equivalent to 3(x + 2) + 5(x - 3)
please help me i really need help please
Answer: 66.
explanation: Ok so right triangle: 1 right angle or 90° and 2 acute angles (Less than 90°). We know that one of the angles are equal to 24° and the right angle is equal to 90° degrees. Now what? We add those 2 values together. 90 + 24 = 114. In the background, a triangle is equal to 180°. So now that we have our 2 core values together, we subtract. The reason why is because this is a missing value type equation. In these types, (usually indicated by the word find) we can subtract 2 values. Our 2 values is 114 and 180. When we subtract both, we get 66.
The directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it represents.
3:1 is your answer bruuuuuuhhhh
3:1 thats the answer yeah
Find the volume (don't forget your UNITS) *
Answer:
70 cubic in
Step-by-step explanation:
2x7x5
70