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3 years ago

What does k equal in the equation y = kx3, so that it represents the graph shown?

Mathematics

1 answer:

Oxana [17]3 years ago

8 0

Without the graph it is impossible the find the value of K

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a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long

QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

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

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

$14800=9000(1+\frac{0.05}{2})^{2t}$

$\frac{14800}{9000}=(1+0.025)^{2t}$

$1.644=(1.025)^{2t}$

Taking log both sides.

$\log(1.644)=\log(1.025)^{2t}$

$\log(1.644)=2t\log(1.025)$ $[\because \log a^b=b\log a]$

$\frac{\log(1.644)}{2\log(1.025)}=t$

$t=10.066$

$t=10.1$

Therefore, the required time is 10.1 years.

3 0

3 years ago

Please helppp!! Round to the nearest hundredths

densk [106]

Answer:1385.44mm sq

Step-by-step explanation: surface area of a circle = pi x radius squared

3.142 x 21 squared

3 0

3 years ago

Read 2 more answers

Use a system of equations to solve this problem.Bronze is a mix, or alloy, of tin and copper. A metal worker needs 100 g of bron

d1i1m1o1n [39]

Answer:

x = 50 grs

y = 50 grs

Step-by-step explanation:

" x " is quantity of bronze of 5% tin

" y " is quantity of bronze of 45% tin

The worker needs 100 grs of bronze and this bronze must be 25% tin

The mathematical expression for the 100 grs condition is:

x + y = 100

And the The mathematical expression for the % condition is:

0,05*x + 0.45*y = 0,25 * ( x + y )

The system is:

x + y = 100

0,05*x + 0,45*y = 0,25* ( x + y )

Solving this system we get values of x and y

y = 100 - x

0,05*x + 0,45* ( 100 - x ) = 0,25 * ( x + 100 - x )

0,05*x + 45 - 0,45*x = 0,25*( 100 )

0,05*x + 45 - 0,45*x = 25

- 0,4*x = -45 + 25

x = 20/0,4 x = 50 grs

and y = 50 grs

8 0

3 years ago

Match each equation to the situation it represents. Yin spends 10 hours on homework this week. She spends 5 hours of science hom

cestrela7 [59]

Answer:

35x+5=10

Step-by-step explanation:

5 0

3 years ago

A boat is worth $8502 new

Shkiper50 [21]

A=8,502×(1−0.13)^(16)
A=915.86

3 0

3 years ago