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ratelena [41]
1 year ago
15

Anna and Lionel share $675 in the ratio 4 : 5 Lionel gives 3/5 of his share of the money to his mother. How much money does Lion

el give to his mother?
Mathematics
1 answer:
Alika [10]1 year ago
7 0

Answer:

$225

Step-by-step explanation:

Total share ratio = 4+5 = 9

Lionel's ratio = 5

Lionel's share = (5/9) × 675

                       = $375

Lionel's mum = (3/5) x 375

                      = $225

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Whats 5578 ÷ 68 equal to
kramer

5578/68=82.029411764705882352941176470588

that would be rounded  to 82.02 which is the answer

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The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by th
Soloha48 [4]

It is given in the question that

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation

K = C + 273.15

To solve for C, we need to get rid of 273.15 and for that we do subtraction, that is

C = K -273.15

Correct option is the first option .

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A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were m
aalyn [17]

This question is incomplete. Below is the complete question:

A bank account earned 3.5% continuously compounded annual interest. After the initial deposit, no deposits or withdrawals were made. At the end of an 8 year period, the balance in the account was $13231.30. what is the amount of the initial deposit?

Answer: The initial deposit is $10,001

Step-by-step explanation:

To solve this we need to utilize the continuous compounding interest formula:-

Fv = Pv × e^(i × t)

Where, Fv = the future value

Pv = present value

i = the interest rate

t = the time in years

e = a mathematical constant that is usually approximated by 2.7183

In this case, the Fv = 13,231.30

i = 3.5% or 0.035

t = 8 years

e = 2.7183

Pv = ? (The unknown variable).

13,231.30 = Pv × [2.7183^(0.035 × 8)]

13,231.30 = Pv × [2.7183^(0.28)]

13,231.30 = Pv × 1.323

Pv = 13,231.30/1.323

Pv = $10000.98

= $10,001

Therefore the initial deposit is $10,001

8 0
1 year ago
Determine whether each of these sets is the power set of aset,wherea and b are distinct elements. a) ∅ c) {∅,{a},{∅,a}} b) {∅,{a
bija089 [108]

Answer:

{∅, {a}, {b}, {a,b}}

Step-by-step explanation:

The value of power of a set is generalized by using the formula,

Power of a set (P) = 2^n where n is the number of element in the set.

Given two distinct elements a and b say;

A = {a,b}

n(A) = 2 i.e the number of elements in the set is 2. Therefore the power of the set will be 2^n which gives 2^2 = 4.

P(A) = 4 means there are 4 subsets of the given set. Subsets are sets of elements that can be found in the set. The subsets of element A will be;

{∅, {a}, {b}, {a,b}} which gives 4 elements in total.

Note that empty set ∅ is always part of the subset of any given set

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