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jolli1 [7]
3 years ago
5

What is the number​ name? 5.789

Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0

Answer:

B

Step-by-step explanation:

5.7 is five and 7 tenths and you keep moving up

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A professional baseball player signs a contract with a beginning salary of $3,000,000 for the first year and an annual increase
FrozenT [24]

Answer: the athlete's salary for year 7 of the contract is $3795957

Step-by-step explanation:

The player signs a contract with a beginning salary of $3,000,000 for the first year and an annual increase of 4%. This means that the amount he gets each year is 1.04 times of the previous year's amount. The rate at which his salary increases is in geometric progression. The nth term of a geometric progression is expressed as

Tn = ar^n-1

Where

Tn is the salary for the nth year

a is the salary for the first year

r is the rate at which the salary is increasing. So

a = 3,000,000

n = 7

r = 1.04

We want to determine T7. It becomes

T7 = 3000000 × 1.04^(7-1)

T7 = 3000000 × 1.04^6

Tn = $3795957

6 0
4 years ago
Which is the outlier in this set of values?<br> 17 20 19 10 15 19 14 0 11 16
Musya8 [376]

Answer:

Zero is the outlier.

Step-by-step explanation:

the rest of the numbers are all two-digit numbers while zero is one digit and farther away on a number line.

hope i helped!

8 0
3 years ago
Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.
Mama L [17]

Multiplying both sides by y^2 gives

xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1

so that substituting v=y^3 and hence \frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx} gives the linear ODE,

\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1

Now multiply both sides by 3x^2 to get

x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2

so that the left side condenses into the derivative of a product.

\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2

Integrate both sides, then solve for v, then for y:

x^3v=\displaystyle\int3x^2\,\mathrm dx

x^3v=x^3+C

v=1+\dfrac C{x^3}

y^3=1+\dfrac C{x^3}

\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}

6 0
3 years ago
How find hight of a Triangle with base 14 yards
AysviL [449]

Answer: You can use any one altitude-base pair to find the area of the triangle, via formula A = (1/2) bh. In each of those diagrams, the triangle ABC is the same. The green line is the altitude, the height, and the side with the red perpendicular square on it is the base. All three sides of the triangle get a turn.


Step-by-step explanation:


5 0
3 years ago
The? half-life of a radioactive substance is 20 years. If you start with some amount of this? substance, what fraction will rema
yarga [219]

\bf \textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\\ t=\textit{elapsed time}\dotfill &120\\ h=\textit{half-life}\dotfill &20 \end{cases} \\\\\\ A=P\left( \frac{1}{2} \right)^{\frac{120}{20}}\implies A=P\left( \frac{1}{2} \right)^6\implies A=P\left( \cfrac{1^6}{2^6} \right)\implies A=\cfrac{1}{64}P

6 0
4 years ago
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