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4 years ago

I am a 2 digit number.

Mathematics

1 answer:

AlexFokin [52]4 years ago

5 0

Answer:

Step-by-step explanation:

6+5=11

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A principal of $4700 was invested at 4.75% interest, compounded annually.

Kitty [74]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

y = P(1 + r/n)^nt

Where

y = the value of the investment at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested

From the information given,

P = $4700

r = 4.75% = 4.75/100 = 0.0475

n = 1 because it was compounded once in a year.

Therefore, the exponential function showing the relationship between y and t is

y = 4700(1 + 0.0475/1)^1 × t

y = 4700(1.0475)^t

7 0

3 years ago

The ratio of keepers to animals in the city zoo is 2 : 7. The table shows the current numbers of animals and keepers in the zoo.

Akimi4 [234]

9 more keepers would need to be added i believe <span />

3 0

3 years ago

Read 2 more answers

Solve sin^4(x)+cos^4(x)=cos4x

ICE Princess25 [194]

$\sin^4x=(\sin^2x)^2=\left(\dfrac{1-\cos2x}2\right)^2=\dfrac{1-2\cos2x+\cos^22x}4$
$\cos^4x=(\cos^2x)^2=\left(\dfrac{1+\cos2x}2\right)^2=\dfrac{1+2\cos2x+\cos^22x}4$

$\implies \sin^4x+\cos^4x=\dfrac{2+2\cos^22x}4=\dfrac{1+\cos^22x}2$

$\cos^22x=\dfrac{1+\cos4x}2$
$\implies\sin^4x+\cos^4x=\dfrac{1+\frac{1+\cos4x}2}2=\dfrac{3+\cos4x}4$

So the equation reduces to

$\dfrac{3+\cos4x}4=\cos4x$
$\dfrac34=\dfrac34\cos4x$
$\cos4x=1$

We have $\cos\theta=1$ whenever $\theta=0+2k\pi=2k\pi$ , where $k$ is any integer. This means for this equation we have solutions at

$4x=2k\pi\implies x=\dfrac{k\pi}2$

6 0

4 years ago

I need help!!! please help me

umka21 [38]

Answer:

2nd and 4th option

Step-by-step explanation:

3 0

2 years ago

The function h ( t ) = − 3t 2 + 12 t + 63 models the flight of a ball t seconds after it is thrown. When can the ball be expecte

Oksana_A [137]

As the ball hits the ground, its height will be equal to 0, so...

-3t² + 12t + 63 = 0

t² - 4t - 21 = 0

Using the Viet's theorem to solve the quadratic equation quicker:

t₁ + t₂ = 4

t₁t₂ = -21

t₁ = -3 - this is not possible because time can't be negative

t₂ = 7

That means, the ball is expected to hit the ground after 7 sec has passed.

4 0

3 years ago