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3 years ago

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Mathematics

1 answer:

STatiana [176]3 years ago

5 0

Answer:

About 12 minutes

Step-by-step explanation:

2/3 = 0.666666667

0.67/1 = 8 min/x min

Cross multiply:

8•1=8

8 divided by 0.6666667 = 11.9999994

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A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

$A =P(1+\frac{r}{n} )^{nt}$ ...............................(1)

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0

2 years ago

PLEASE HELP!!!

tatyana61 [14]

Answer: The equation is y= -2x -4

Step-by-step explanation:

The slope intercept form is like y=mx+b so we know the slope which is m but we just need to find the y intercept.

and we will use the given coordinates to find the y intercept by putting in the x and y coordinates into the formula y=mx + b

-6= -2(1) + b

-6= -2 + b

+2 +2

b= -4

5 0

2 years ago

What would you do if you saw a to 99 year old women fighting over a 21 year old man

Sophie [7]

Answer:

kick them to the moon. <D

Step-by-step explanation:

it's probably wrong- but that's what i'd do lolol

3 0

3 years ago

Please help. Will give brainliest.

evablogger [386]

Alright, so you have the basic formula- good.
You have the A value (400), the interest rate r (7.5% -> .075 in decimal), and the final P value (8500). So, we only need to solve for t.

8500 = (400)(1+.075)^t
/400 /400
21.25 = 1.075^t
logarithms are the inverse of exponents, basically, if you have an example like
y = b^x, then a logarithm inverts it, logy(baseb)=x
Makes sense if you consider a power of ten.
1000 = 10^3
if you put logbase10(1000), you'll get 3.
Anyways, though, to solve the problem make a log with a base of 1.075 in your calculator
log21.25(base 1.075) = t
also, because of rules of change of base (might want to look this up to clarify), you can write this as log(21.25)/log(1.075) = t
Thus, t is 42.26118551.
Rounded to hundredths, t=42.26

6 0

2 years ago

a washing machine was reduced in sale by 15% the sale price is now £238 what was the original price?

BabaBlast [244]

Answer:

£280

Step-by-step explanation:

238/0.85

5 0

1 year ago

Show you work as well​

Show you work as well