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3 years ago

6

beena has a cumulative deposit account rs.400 per month at 10% per annum simple interest. if she gets rs.30100 at the time of ma

turity, find the total time for which the account was held.

1 answer:

Dima020 [189]3 years ago

6 0

Answer:T=1.54yr

Step-by-step explanation:

Formulate for simple interest

I=prt/100

T=100I/pr

T=100×400×12/30100×10

T=1.54yr

You might be interested in

If f(x) = -3x - 5 and g(x) = 4x - 2, find (F- g)(x).

yan [13]

<u>Answer:</u>

If f(x) = -3x - 5 and g(x) = 4x - 2 then (f - g)(x) = -7x - 3

<u>Solution:</u>

We need to determine the value of (f - g)(x)

Given that the function is f(x) = -3x - 5 and the other function is g(x) = 4x - 2

The value of (f - g)(x) can be found by as follows:

<em>(f - g)(x) = f(x) - g(x)</em>

On substituting the given value of f(x) and g(x) we get

(f - g)(x) = (-3x - 5) - (4x - 2)

Upon solving we get

(f - g)(x) = -3x -5 -4x + 2 = -7x -3

Hence the value of (f - g)(x) is equal to -7x - 3

8 0

3 years ago

Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we

klio [65]

Answer:

$P(X>9) = 0.3593$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=25, p=0.3089)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

For this case we want this probability:

$P(X >9)$

And we can use the complement rule like this:

$P(X>9) = 1-P(X \leq 8)= 1-[P(X=0) + P(X=1) +....+P(X=8)]$ And we can find the individual probabilities like this:

$P(X=0) =(25C0)(0.3089)^0 (1-0.3089)^{25-0} =0.0000974$

$P(X=1) =(25C1)(0.3089)^1 (1-0.3089)^{25-1} =0.0011$

$P(X=2) =(25C2)(0.3089)^2 (1-0.3089)^{25-2}=0.00584$

$P(X=3) =(25C3)(0.3089)^3 (1-0.3089)^{25-3}= 0.02$

$P(X=4) =(25C4)(0.3089)^4 (1-0.3089)^{25-4}=0.049$

$P(X=5) =(25C5)(0.3089)^5 (1-0.3089)^{25-5}=0.092$

$P(X=6)=(25C6) (0.3089)^6 (1-0.3089)^{25-6} = 0.138$

$P(X=7) =(25C7)(0.3089)^7 (1-0.3089)^{25-7}=0.167$

$P(X=8) =(25C8)(0.3089)^8 (1-0.3089)^{25-8}=0.168$

And in order to do the operations we can use the following excel code:

"=1-BINOM.DIST(8,25,0.3089,TRUE)"

And we got:

$P(X>9) = 0.3593$

4 0

3 years ago

Bethany sells roses and petunias. The expression 3r+2.5p3r+2.5p3, r, plus, 2, point, 5, p gives the cost (in dollars) of rrr ros

Lelechka [254]

Answer: The cost of 7 roses and 8 petunias is $41.

Step-by-step explanation:

Given, Bethany sells roses and petunias. The expression $3r+2.5p$ , gives the cost (in dollars) of r roses and p petunias.

Now to find the cost of 7 roses and 8 petunias , put r= 7 and p= 8 in the above expression , we get

$3(7)+2.5(8)=21+20\\\\=41$

Hence, the cost of 7 roses and 8 petunias is $41.

5 0

3 years ago

ILL BRAINLIST!!! DUE AT 9 plzzz ANSWRR!!! 7th grade!! :)))

marusya05 [52]

Answer: object 1 is traveling 30 minutes than object 2

Step-by-step explanation:

Q1- 70

Q2- 100

100-70=30

I hope that made sense.

4 0

3 years ago

Calculate the area and perimeter .

Alex17521 [72]

Perimeter = 36 cm
area = 24+15+12= 51cm

6 0

3 years ago