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2 years ago

PLEASE help (desperate) :(

Mathematics

1 answer:

mars1129 [50]2 years ago

6 0

Answer:

$4= \sqrt{16} \\1.5 = \sqrt{2.25}\\8 = 6^{2} /9*2\\1 = \frac{12 - 2}{6 + 4}\\5 = \sqrt{16 + 9} \\9 = 63/3^{2} +|2|$

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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

3 years ago

Can anyone factor this?? I'm a little lost tysm!!!! 5x^2+12x+4 5x 2 +12x+4

Sergio039 [100]

For a polynomial of the form ax^2+bx+c rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅4=20 and whose sum is b=12.

Factor 12 out of 12x.

5x^2+12(x)+4

Rewrite 12 as 2 plus 10

5x^2+(2+10)x+4

Apply the distributive property.

5x^2+2x+10x+4

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(5x^2+2x)+10x+4

Factor out the greatest common factor (GCF) from each group.

x(5x+2)+2(5x+2)

Factor the polynomial by factoring out the greatest common factor, 5x+25x+2.

(5x+2)(x+2)

6 0

2 years ago

A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which

Aloiza [94]

Answer:

$\frac{4cm}{1year}*\frac{10mm}{1cm}*\frac{1year}{365days}$

Step-by-step explanation:

Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put in such a way that the top and bottom cancels out with each unit and whatever we want, remains.

A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:

First:

$5cm*\frac{10mm}{1cm}$

Second:

$5cm*\frac{1cm}{10mm}$

The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.

Now, for our problem, we want mm on top and day on bottom. So, cm and year should cancel. Looking at the first choice, the conversion factors are correct & skimming through, we see that

cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, which is what we want.

First answer choice is right.

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