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3 years ago

Two thirds a number plus 4 is 7

Mathematics

1 answer:

larisa [96]3 years ago

3 0

2/3x + 4 = 7

if looking for x then

2/3x = 3
x = 3 (3/2)
x = 9/2

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Jan uses 6 grams of tea leaves to make 24 fluid ounces of tea. Last week she made 288 fluid ounces of tea. How many grams of tea

Reil [10]

Hello!

288 / 24 = 12

6 * 12 = 72

Jan used 72 grams of tea leaves to make tea.

4 0

2 years ago

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$

$P\left(t\right)=P_0\times \left[1+\left(\frac{i}{n}\:\right)\right]^{\left(n\:\times \:\:t\right)}$

Here,

$i$ = interest rate

= number of compounding periods

$t$ = time period in years

Part b) Write the model equation for Natalie’s situation?

For continuous compounding the number of compounding periods, $n$ , becomes infinitely large.

Therefore, the formula as we discussed above would become:

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

Part c) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₂ $=\:6107.02$ $

So, Natalie will have $\:6107.02$ $ after 2 years.

Part d) How much money will Natalie have after 2 years?

Using the formula

$P\left(t\right)=P_0\times e^{\left(i\:\times \:t\right)}$

$₁₀ $=13.597.50$ $

So, Natalie will have $13.597.50$ $ after 10 years.

Keywords: word problem, interest

Learn more about compound interest from brainly.com/question/6869962

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5 0

2 years ago

suzie spent 3 1/2 hours at the beach. she spent 45 minutes playing in the sand and the rest of the time playing in the water. ho

Anika [276]

Answer:

2 hours and 45 min

Explanation:

3 hours+30 minutes

subtract 30

3 hours

subtract 15

2 hours and 45 min

6 0

2 years ago

Read the caption please

ladessa [460]

Answer:

Step-by-step explanation:

4 0

2 years ago

frankie puts £3000 in a bank account for four years with 12% rate of interest. how much will be in the account at the end of the

Tpy6a [65]

3000x1.12
=3360
Therefore, Frankie will have £3360 percent chance for at the end if the time period

3 0

2 years ago