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2 years ago

The triangles below are similar. Find x.

Mathematics

1 answer:

Anni [7]2 years ago

8 0

Answer: 105

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

$\frac{x}{14}=\frac{97.5}{13}\\\\=\frac{x}{14}=7.5\\\\x=\boxed{105}$

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In 2005, there were 14,100 students at college A, with a projected enrollment increase of 1000 students per year. In the same

Ede4ka [16]

Let A be college A and let B be College B

A= 14,100

Rule: 1 Year = +1,000 students

B= 34,350

Rule: -1250 per year

1st Answer: 2017

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3 years ago

Siri am I a mix of recipe that calls for 1 1/2 cups of flour and 3/4 to get butter Jeremiah uses three sticks of butter how many

Inga [223]

Answer:

6 cups

Step-by-step explanation:

jeremiah 4× the recipe

3/4×4=3

so 1 1/2×4=6

8 0

3 years ago

The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equ

Tems11 [23]

Answer:

Step-by-step explanation:

Hello, we know that the z complex solutions of

$z^4=1$

are

1, i, -1, -i

so, the solutions of $z^4=16=2^4$ are

2, 2i, -2, -2i

Thank you

3 0

3 years ago

Geometry: please only comment if you know the answer I need help with this please

stich3 [128]

Answer:

Step-by-step explanation:

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3 years ago

If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

3 years ago