All categories

3 years ago

Three numerical expressions that are equivalent to (0.0004) x (0.005)

Mathematics

1 answer:

zzz [600]3 years ago

4 0

Answer:

Numerical expression 1

$\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}$

Numerical expression 2

$\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}$

Numerical expression 3

$1 : 50000$

Step-by-step explanation:

Numerical expression 1

$\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}$

Numerical expression 2

$\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}$

Numerical expression 3

$1 : 50000$

You might be interested in

Brenna has a bike odometer that shows how far she travels. She bikes 8 miles to her friend's house and then both girls bike to t

aleksklad [387]

Answer:

14 = 8 + 2d

Step-by-step explanation:

Odometer is a device that is equipped in the vehicles to count the distance traveled by the vehicle.

It has been given in the question that,

Distance between beach and her friend's house = d miles.

Distance between Brenna's house and her friend's house = 8 miles

Total distance traveled by Brenna = 14 miles.

Starting from the Brenna's house, we will add each distance traveled till the end of her journey and will make it equal to the 14 miles.

So,

Total distance = Distance between Brenna's house and her friend's house + Distance between her friend's house and beach + Distance between beach and her friend's house

Thus, we can now put the values as,

14 = 8 + d + d

We will get the final equation as

14 = 8 + 2d

4 0

3 years ago

Read 2 more answers

If Free Yer Assets Bank (FYAB) will give you 0.25% compounded quarterly and I.M.A.Q.T.π bank will give you 0.23% interest compou

ivann1987 [24]

Answer:

FYAB gives a better deal.

Step-by-step explanation:

Compound interest:

$A = P(1 + \dfrac{r}{n})^{nt}$

Continuously compounded interest:

$A = Pe^{rt}$

For the quarterly compounded interest, r = 0.25%, and n = 4.

$2P = P(1 + \dfrac{0.0025}{4})^{4t}$

$1.000625^{4t} = 2$

$\log (1.000625^{4t}) = \log 2$

$4t(\log 1.000625) = \log 2$

$t = \dfrac{\log 2}{4\log 1.000625}$

$t = 277$

For the continuously compounded interest, r =0.23%

$A = Pe^{rt}$

$2P = Pe^{0.0023t}$

$2 = e^{0.0023t}$

$\ln 2 = \ln e^{0.0023t}$

$\ln 2 = 0.0023t$

$t = \dfrac {\ln 2}{0.0023}$

$t = 301$

The quarterly compounded doubles in 277 years.

The continuously compounded doubles in 301 years.

Answer: FYAB gives a better deal.

7 0

3 years ago

Saylor Henshaw earned $120 in simple interest in 9 months at an annual interest rate of 5%. How much money did he invest?

Ksju [112]

Annual interest is P*r^t, r is 0.05 here, t is 9/12=3/4=0.75
P*0.05^0.75=120
use your calculaor: P= 120÷ (0.05)^0.75=1135
so he invested about 1135 dollars

3 0

3 years ago

The value of a house decreases at a steady rate of 20% each year. What is the total percentage loss (to the nearest integer) in

Westkost [7]

Answer: The total percentage loss would be 67%.

Step-by-step explanation:

Since we have given that

Rate of decline each year = 20%

Number of years = 5

We need to find the total percentage loss in value of the house at the end of 5 years.

So, Total percentage loss would be

$1-(1-\dfrac{r}{100})^5\\\\=1-(1-\dfrac{20}{100})^5\\\\=1-(\dfrac{4}{5})^5\\\\=1-(0.8)^5\\\\=0.67\\\\\approx 67%$

Hence, the total percentage loss would be 67%.

8 0

3 years ago

The vertex is located at (8.33,236.67). What does this point represent in context

Bezzdna [24]

Answer:

It depends on the situation being modeled.

Step-by-step explanation:

Assuming the vertex (8.33,236.67) is on a quadratic curve modeling height of an object in feet after t seconds.

Then t=8.33s is the time the object reached the maximum height.

The maximum height is the y-value of the vertex, which is 236.67 feet.

In this case the quadratic curve opens downwards.

The vertex is then the maximum point on this curve.

6 0

3 years ago

Read 2 more answers