MATHEMATICS HIGH SCHOOL

Help me solve these problems please

Answers

Answer 1

Answer:

Principal amount is $1510, so P = 1,510 dollars.

Compounding period is daily, so N = 365.

Interest rate is 12%, so r = 0.12

Time of investment is 3 years, so t = 3 years.

We can use compound interest formula as given below :-

Amount = $P*(1+(r)/(N) )^((N*t))$

$Amount=1510*(1+(0.12)/(365) )^((365*3)) \n\nAmount=1510*(1+0.000328767 )^((1095)) \n\nAmount=1510*(1.000328767 )^((1095)) \n\nAmount=1510*(1.433244609) \n\nAmount=2164.199359 \approx 2164.20 \;dollars$

Hence, total amount in account would be 2,164.20 dollars.

Jill needs 8 yards of fabric to make a cape.

Step-by-step explanation:

Givens

Jill needs 4 1/3 yards of blue fabric for the outside of teh cape.
Also she needs 3 2/3 yards of purple fabric for the lining.

In order to know the total number of yards Jill needs to make a cape, we first need to transform each mixed number into fraction. We do that multiplying the whole part with the denominator and then adding it to the numerator, as follows

$4(1)/(3)=(13)/(3) \n3(2)/(3)=(11)/(3)$

Then, we sum both fractions

$(13)/(3) +(11)/(3)=(13+11)/(3)=(24)/(3) =8$

Therefore, Jill needs 8 yards of fabric to make a cape.

Hey there, just subtract 4 1/3 from 3 2/3 to get your answer. 4 1/3=13/3 and 3 2/3=11/3, 13*3-11*3/3*3=39-33/9=6/9, 6/9 simplified is 2/3

In little Marsden the population is 17 222. The men and women together total 9142 and the women and children together total 13 201.There are ...... Women
There are ...... Men
There are ...... Children

Answers

M + W = 9142
W + C = 13201
Population: 17222
17222 - 13201 (W + C) = 4021
4021 = Men

M + W = 9142
so 9142 - 4021 = 5121 = Women

And W + C = 13201
so 13201 - 5121 = 8080

Check: 8080 + 5121 + 4021 = 17222
Happy to Help!

a = Children
b = men
c = women

a + b + c = 17 222
b + c = 9142
a + c = 13 201

To find a we will minus b + c from 17 222.
a + b + c = 17 222
a + (9142) = 17 222
a + 9142 (- 9142) = 17 222 (- 9142)
a = 8080

To find c we will take the equation " a + c = 13 201 " and substitute a to "a = 8080"
a + c = 13 201
(8080) + c = 13 201
8080 (-8080) + c = 13 201 (-8080)
c = 5121

And then to find b we will take the equation " a + b + c= 17 222 " and substitute 'a' and 'c' for their solved numbers.
a + b + c = 17 222
(8080) + b + (5121) = 17 222
b + (13201) = 17 222
b + 13201 (-13 201) = 17 222 (-13 201)
b = 4021

And to check answer we will substitute all variable for their found answers.
a + b + c = 17 222
(8080) + (4021) + (5121) = 17 222

Children = 8080
Men = 4021
Women = 5121

Tada! haha

Hope that helps. For these questions, it's a good idea to write them out as I did in the beginning to get a feel for them....

a + b + c = 17 222
b + c = 9142
a + c = 13 201

and then try to isolate and solve one variable and then go from there. :D

3.9 point is equivalent to how many tenths?