Anastasia has 5/6 cup of frosting. She uses 2/5 of the frosting to decorate a cake. How much frosting does she use on the cake

James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposit $500 into the acc

katovenus [111]

Answer:

<h2>Option A is the answer(here the answer is calculated taking the whole value, without approximating it to a nearest value)</h2>

Step-by-step explanation:

Annual interest rate is 2.75%. Hence, the monthly interest rate is $\frac{2.75}{12}$

The amount will be compounded $(20\times12) = 240$ times.

Every month they deposits $500.

In the first month that deposited $500 will be compounded 240 times.

It will be $500\times [1 + \frac{2.75}{1200} ]^{240}$

In the second month $500 will be deposited again, this time it will be compounded 239 times.

It will give $500\times [1 + \frac{2.75}{1200} ]^{239}$

Hence, the total after 20 years will be $500\times [1 + \frac{2.75}{1200} ]^{240} + 500\times [1 + \frac{2.75}{1200} ]^{239} + ........+ 500\times [1 + \frac{2.75}{1200} ]^{1} = 160110.6741$

7 0

2 years ago

Which of these is an equation? A 2y + 7 = 9 B 2x > 3 C 3n + 5 D a2 + 2

nikklg [1K]

Answer:

Option A is correct answer.

Step-by-step explanation:

An equation is having two sides equal. It has an = sign in it.

So, Option A 2y+7 = 9 is an equation as it has = sign in it. So, it is correct option.

All other options do not have = sign in them so, they are not equations.

6 0

2 years ago

If henry were to add 5 gallons of water to a tank that is already 34 full of water, the tank would be 78 full. how many gallons

taurus [48]

Please express those fractions properly: 3/4, 7/8.

Let g be the # of gallons the tank could hold when full.

Then (3/4)n + 5 = (7/8)n.

solving for n: Mult all 3 terms by the LCD (8): 6n + 5(8) = 7n.

Then n=5(8) = 40 (gallons). The tank would hold 40 gallons of water were it full.

5 0

2 years ago

Which congruence theorems can be used to prove ΔEFG ≅ ΔJHG? Select two options.

mezya [45]

<h2><u><em>Answer: </em></u></h2><h2><u><em> </em></u></h2>

ASA and AAS

<h2><u><em>Step-by-step explanation: </em></u></h2>

We do not know if these are right triangles; therefore we cannot use HL to prove congruence.

We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.

We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.

Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.

5 0

2 years ago

Read 2 more answers

An automobile manufacturer produces production parts with 98% accuracy. What is the probability that in a production run of 25 p

Sergio039 [100]

Answer:

the answer is C

Step-by-step explanation:

let's be honest when in doubt just put c

5 0

2 years ago