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2 years ago

(3×10^2 )×(2×10^−4 )=

Mathematics

1 answer:

Alik [6]2 years ago

6 0

Answer:

Step-by-step explanation:

First, lets simplify everything in the parenthesis.

(3×10^2 )×(2×10^−4 )=

In the parenthesis, since exponents come before multiplication in the order of operations, we need to do the exponents first.

(3 • 100) • (2 • 1/10^4)

Now, we can just multiply everything from left to right to get:

6*10^-2

.06

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Dan buys a car for £2200.

KatRina [158]

Answer:

The worth of the car after 6 years is £2,134.82

Step-by-step explanation:

The amount at which Dan buys the car, PV = £2200

The rate at which the car depreciates, r = -0.5%

The car's worth, 'FV', in 6 years is given as follows;

$FV = PV \cdot \left ( 1 + \dfrac{r}{100} \right )^n$

Where;

r = The depreciation rate (negative) = -0.5%

FV = The future value of the asset

PV = The present value pf the asset = £2200

n = The number of years (depreciating) = 6

By plugging in the values, we get;

$FV = 2200 \times \left ( 1 + \dfrac{-0.5}{100} \right )^6 \approx 2,134.82$

The amount the car will be worth which is its future value, FV after 6 years is FV ≈ £2,134.82 (after rounding to the nearest penny (hundredth))

8 0

3 years ago

Gabriel invested $77,000 in an account paying an interest rate of 3%

const2013 [10]

Answer:

Isabella earn $5604.54$ more money than Gabriel

Step-by-step explanation:

As we know

Compound interest (CI) $= P (1 + \frac{r}{n})^{nt}$

P is the principal amount

t is the time period

n is the number of time periods

r is the rate of interest

a) CI for Gabriel

$= 77000 (1 + \frac{3}{100*12})^{12*6}$ $= 92165.03$ dollars

b) CI for Isabella

$= 77000 (1 + \frac{4}{100*4})^{4*6}$ $= 97769.57$ dollars

Isabella earn $5604.54$ more money than Gabriel

7 0

2 years ago

Please help me with this I will make you brainlist if you respond with no links and fully! Do NOT steal points.

inessss [21]

Answer: C. 113.1 cubic centimeters

Step-by-step explanation:

Volume of a sphere= $\frac{4}{3}$ (3.14)(r)^3

Since we know r then just plug in to get 4/3(3.14)(3)^3= 113.1

So the answer is C

4 0

2 years ago

Read 2 more answers

Help me on this question! Jake can carry 6 1/4 pounds of wood in from the barn.His father can carry 1 5/7 times as much as jake.

ioda

$\text{ Jake father can carry } 10\frac{5}{7} \text{ or } \frac{75}{7} \text{ pounds }$

Solution:

From given question,

Number of pounds Jake carry = $6\frac{1}{4} \text{ pounds }$

Number of pounds his father carry is $1\frac{5}{7}$ times as much as jake

To find: Number of pounds Jake father can carry

Convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

$\rightarrow 6\frac{1}{4} = \frac{4 \times 6+1}{4} = \frac{25}{4}\\\\\rightarrow 1\frac{5}{7} = \frac{7 \times 1+5}{7} = \frac{12}{7}$

Then according to question,

$\text{Pounds father carry } = \frac{12}{7} \text{ times the pounds jake carry }\\\\\text{Pounds father carry } = \frac{12}{7} \times \frac{25}{4}\\\\\text{Pounds father carry } = \frac{75}{7}\\\\\text{In terms of mixed fractions, }\\\\\text{Pounds father carry } = \frac{75}{7} = 10\frac{5}{7}$