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3 years ago

Find the missing length indicated. Leave your answer in simplest radical form.

Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

So with this, you will be using proportions. In this case, our proportion is: $\frac{16}{x}=\frac{x}{9}$

Firstly, cross-multiply: x^2=144

Next, square root both sides of the equation, and your answer will be x = 12

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$13,957 is invested, part at 7% and the rest at 6%. If the interest earned from the amount invested at 7% exceeds the interest e

ch4aika [34]

Answer:

The Amount invested at 7% interest is $12,855

The Amount invested at 6% interest = $1,102

Step-by-step explanation:

Given as :

The Total money invested = $13,957

Let The money invested at 7% = $p_1$ = $A

And The money invested at 6% = $p_2$ = $13957 - $A

Let The interest earn at 7% = $I_1$

And The interest earn at 6% = $I_2$

$I_1$ - $I_2$ = $833.73

Let The time period = 1 year

Now,<u> From Simple Interest method</u>

Simple Interest = $\dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}$

Or, $I_1$ = $\dfrac{\textrm p_1\times \textrm 7\times \textrm 1}{100}$

Or, $I_1$ = $\dfrac{\textrm A\times \textrm 7\times \textrm 1}{100}$

And

$I_2$ = $\dfrac{\textrm p_2\times \textrm 6\times \textrm 1}{100}$

Or, $I_2$ = $\dfrac{\textrm (13,957 - A)\times \textrm 6\times \textrm 1}{100}$

∵ $I_1$ - $I_2$ = $833.73

So, $\dfrac{\textrm A\times \textrm 7\times \textrm 1}{100}$ - $\dfrac{\textrm (13,957 - A)\times \textrm 6\times \textrm 1}{100}$ = $833.73

Or, 7 A - 6 (13,957 - A) = $833.73 × 100

Or, 7 A - $83,742 + 6 A = $83373

Or, 13 A = $83373 + $83742

Or, 13 A = $167,115

∴ A = $\dfrac{167115}{13}$

i.e A = $12,855

So, The Amount invested at 7% interest = A = $12,855

And The Amount invested at 6% interest = ($13,957 - A) = $13,957 - $12,855

I.e The Amount invested at 6% interest = $1,102

Hence,The Amount invested at 7% interest is $12,855

And The Amount invested at 6% interest = $1,102 . Answer

8 0

3 years ago

Simplify<br> 5 x 52<br> leaving your answer in index form.

lions [1.4K]

Step-by-step explanation:

$52 \times 5 = 260$

$so \\ 260 = 26 ^{10}$

hope this was useful

7 0

2 years ago

Read 2 more answers

if the breadth of rectangle in one third of it's length and perimeter is 80 cm,find the length and breadth of rectangle

Serhud [2]

Length＝x
Breadth＝1/3x
(x＋1/3x)×2＝80
4/3x×2＝80
8/3x＝80
x＝30
Length＝30
Breadth＝1/3×30＝10

Hope my answer helped u :)

7 0

2 years ago

Bus A and Bus B leave the bus depot at 5 pm. Bus A takes 30 minutes to do its route and bus B takes 35 minutes to complete its r

DaniilM [7]

Answer:

8:30 pm

Step-by-step explanation:

step 1

Decompose the numbers in prime factors

$30=(2)(3)(5)\\35=(5)(7)$

step 2

Find the LCM

The LCM of 30 min and 35 minutes will be given as

$LCM=(2)(3)(5)(7)=210\ min$

step 3

Adds 210 minutes to the starting time

First, converting 210 minutes to hours

Remember that

$1\ h=60\ min$

will need dividing 210 by 60

$210/60=3.5\ h$

therefore

5:00 pm+3.5 h=8:30 pm

7 0

3 years ago

The price of an Item yesterday was $160. Today, the price rose to $248. Find the percent increase.

Tpy6a [65]

Answer:

jguifutrdduturdrfuy

Step-by-step explanation:

8 0

3 years ago