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2 years ago

6

You borrow $10,000 from the bank to start a small business. The interest rate is 5.25% and you borrow the money for 5 years. How

much INTEREST you will pay on this loan?

1 answer:

garri49 [273]2 years ago

3 0

Answer:

$2,625 ( i think )

If im right add me on snap pls

idk_marqo

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The base of a triangle is decreasing at the rate of 1 ft/sec, while the height is increasing at the rate of 2 ft/sec. At what ra

Vera_Pavlovna [14]

We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.

3 0

3 years ago

Read 2 more answers

Use the properties of logarithms to prove log, 1000 = log2 10.

Leto [7]

Given:

Consider the equation is:

$\log_81000=\log_210$

To prove:

$\log_81000=\log_210$ by using the properties of logarithms.

Solution:

We have,

$\log_81000=\log_210$

Taking left hand side (LHS), we get

$LHS=\log_81000$

$LHS=\dfrac{\log 1000}{\log 8}$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=\dfrac{\log (10)^3}{\log 2^3}$

$LHS=\dfrac{3\log 10}{3\log 2}$ $[\because \log x^n=n\log x]$

$LHS=\dfrac{\log 10}{\log 2}$

$LHS=\log_210$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=RHS$

Hence proved.

6 0

3 years ago

Ms. Lynch has 21 coins in nickels and dimes.

bulgar [2K]

Answer:

Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns x + y = 21 5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105 5x + 10y = 165 Now we combine (add) the equations, which eliminates x altogether. 5y = 60 ... y = 12 From there, x + 12 = 21 ... x = 21-12 ... x = 9 You should double check. Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.

4 0

2 years ago

Can anyone help me out ?

AnnZ [28]

no se pero de seguro alguien más te ayudará

8 0

2 years ago

The probability distribution for the rate of return on an investment is

babymother [125]

Answer:

a)0.7

b) 10.03

c) 0.0801

Step-by-step explanation:

Rate of return Probability

9.5 0.1

9.8 0.2

10 0.3

10.2 0.3

10.6 0.1

a.

P(Rate of return is at least 10%)=P(R=10)+P(R=10.2)+P(R=10.6)

P(Rate of return is at least 10%)=0.3+0.3+0.1

P(Rate of return is at least 10%)=0.7

b)

Expected rate of return=E(x)=sum(x*p(x))

Rate of return(x) Probability(p(x)) x*p(x)

9.5 0.1 0.95

9.8 0.2 1.96

10 0.3 3

10.2 0.3 3.06

10.6 0.1 1.06

Expected rate of return=E(x)=sum(x*p(x))

Expected rate of return=0.95+1.96+3+3.06+1.06=10.03

c)

variance of the rate of return=V(x)= $sum(x^2p(x))-[sum(x*p(x))]^2$

Rate of return(x) Probability(p(x)) x*p(x) x²*p(x)

9.5 0.1 0.95 9.025

9.8 0.2 1.96 19.208

10 0.3 3 30

10.2 0.3 3.06 31.212

10.6 0.1 1.06 11.236

sum[x²*p(x)]=9.025+19.208+30+31.212+11.236=100.681

variance of the rate of return=V(x)=sum(x²*p(x))-[sum(x*p(x))]²

variance of the rate of return=V(x)=100.681-(10.03)²

variance of the rate of return=V(x)=100.681-100.6009

variance of the rate of return=V(x)=0.0801

6 0

2 years ago