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3 years ago

What is a triangular number?

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

4 0

It's a number that counts the objects that can form an equilateral triangle.

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Help me please or you can just ship me Irdc

Evgen [1.6K]

1 bag=2cups. so, he uses 1 and 0.25 bags. there are 3.75 bags left. hope that helps)

6 0

3 years ago

A club has members from three grades.

mars1129 [50]

the ratio is 24:30

or the simplified version is 4:5

7 0

2 years ago

The formula S = A((1+r)t+1−1r) S = A 1 + r t + 1 - 1 r models the value of a retirement account, where A = the number of dollars

tatiyna

So this is how you will arrive to the answer:

The following formula models the value of a retirement account,

S = (A [ ( 1 + r ) ^ (t + 1) - 1] / r)

wherein:

A = number of dollars added to the retirement account (each year)

r = annual interest rate

s = value of the retirement account after t years

The question is:

If the interest rate is 11% then how much will the account be worth after 15 years if $2200 is added each year?

Round to the nearest whole number.

Solution:

The said formula contains the term t + 1 instead of the usual "t". Means that the formula applies only in the situation where the money is invested at the beginning of the year instead of the usual practice at the end

Given:

A = 2200
r = 0.11
t = 15

The accumulated amount:
F = A ((1 + r) ^ (t+1) - 1 / r

Substitute:

F = 2200 (1.11 ^ (15 + 1 ) - 1) /0.11
F = 86217.88664

If money is invested at the end of the year, then F = 80476.49, the difference being the investment of an extra 2200 over 15 years.

4 0

2 years ago

Read 2 more answers

After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y). A student determined y to be –2. Evaluate the

SpyIntel [72]

Answer:

B. The student incorrectly calculated the scale factor to be –2

Step-by-step explanation:

Given that :

After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y).

The student determined y to be -2

If a figure dilated with a center of (0, 0) and scale factor k, then

(x , y) → (kx , ky)

(4, -6) → (12, y)

$k = \dfrac{x'}{x}$

$k = \dfrac{12}{4}$

k = 3

Thus; the scale factor is 3

Now; the y-coordinate can now be calculated as;

ky = (3 × -6)

ky = -18

Therefore; the value of y = -18 and the student incorrectly calculated the scale factor to be -2.

3 0

2 years ago

Olivia spends $4 creating lemonade, and sells the cups for $1 each. Nathan spends $5 creating lemonade and sells the cups for $0

almond37 [142]

Answer: 2 cups

Step-by-step explanation: Olivia spends 4$ and nothing more. 1$ is her profit that can continue to gain and can be represented as 1x or x. x-4 is the equation to represent her profit. Nathan spends 5$ and 0.50$ is his profit which can be shown as 0.5x. 0.5x-5 is the equation to represent his profit.

Set those two equations equal to each other. $0.5x-5=x-4$

Isolate x. $0.5x=-1$

Solve for x. $x=-2$

Since x represents the amount of cups sold, you cannot have a negative amount of cups sold. Therefore, Olivia and Nathan must sell 2 cups to make the same profit.

4 0

2 years ago