Help me pleaseeeee :(

1. In order to save for her high school graduation, Kathrina decided to save ₱200 at the end of every other month, starting the

max2010maxim [7]

Answer:

1) 202.52

2) P107089

Step-by-step explanation:

Compound interest is calculated as

A = P (1 + r/n)^(nt), where

A = compounded interest

P = present value

r = interest

n = number of times interest applied

t = time taken

A = 200 (1 + 0.25%/30)^(30 * 5)

A = 200 (1 + 8.3*10^-5)^150

A = 200 * 1.0126

A = 202.52

Present Value Annuity Due is usually given by the formula

P = c*((1-(1+ i)^(-n))/i)*(1 + i ), where

P is the present value

C is the Cash flow per period

i is the interest rate and

n is the number of payments

P = 10000*((1-(1+ 12/1200)^(-1*12))/(12/1200))*(1+12/1200)

P = 113676

Also, it's worthy of note that

Effective Annual Rate = [(1 +stated rate/no. of compounding periods) ^no of compounding periods - 1]* 100

EAR = ((1+12/(12*100))^12-1)*100

EAR = 12.68%

And lastly, the

Future value = present value*(1+ rate)^time

113676 = Present value*(1+0.1268)^0.5

Present Value = 113676 / 1.1268^0.5

Present Value = 113676 / 1.0615

Present value = 107089

5 0

3 years ago

Cherries $5 per pound and oranges per pound$2. He paid 18.00 for total weight which was 6 lbs how many pounds of cherries did Al

wel

Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges

------------------------------------
Construct equations
------------------------------------
x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)

------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6
x = 6 - y

------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2

------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs

------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
------------------------------------------------------------------------

5 0

3 years ago

Plz Help 15 points and brainliest

diamong [38]

Answer:

–322.25 > –241.75

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A ladder is leaning up against a 17 foot Wall at an angle of elevation of 37°. How far is the foot of the latter from the wall?

inn [45]

This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)

6 0

3 years ago

Help me solve this please

shutvik [7]

Answer:

D'G' = 52.5 units

Step-by-step explanation:

Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5

D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )

G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )

Calculate D'G' using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$