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algol [13]
3 years ago
14

The area of a rectangle is 1.7 square units. The length is 3.4 units and the width is z units.

Mathematics
2 answers:
vaieri [72.5K]3 years ago
3 0
<span>rectangle 
A = L * W
1.7 = 3.4 * z
z = 1.7 / 3.4
z = 0.5

answer
</span><span>z=0.5</span>
Annette [7]3 years ago
3 0

Answer:

z=0.5

Step-by-step explanation:

Given: The area of a rectangle is 1.7 square units. The length is 3.4 units and the width is z units.

To find: Value of z

Solution: We know that area of a rectangle is calculated by multiplying length and width.

Here, length is given by 3.4 units and width is given by z units.

So, area of rectangle is 3.4\times z

Now, area of the rectangle is  given as 1.7 square units.

In order o get the value of z we need to equate the two areas.

3.4\times z=1.7

z=\frac{1.7}{3.4}

z=\frac{17}{34}

z=\frac{1}{2}

z=0.5

Hence, z=0.5 is correct.

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A combined total of 39000 is invested in two bonds that pay 5% and 6.5% simple interest. The annual interest is 235500 how much
dolphi86 [110]

Answer:

$12000 at 5%

$27000 at 6.5%.

Step-by-step explanation:

Let x represent amount invested at 5% and y represent amount invested at 6.5%.

We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:

x+y=39000...(1)

We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:

0.05x+0.065y=2355...(2)

Upon substituting equation (1) in equation (2), we will get:

0.05x+0.065(39000-x)=2355

0.05x+2535-0.065x=2355

-0.015x+2535=2355

-0.015x=2355-2535

-0.015x=-180

\frac{-0.015x}{-0.015}=\frac{-180}{-0.015}

x=12000

Therefore, an amount of $12,000 is invested at 5%.

Upon substituting x=12000 in equation (1), we will get:

12000+y=39000

y=39000-12000

y=27000

Therefore, an amount of $27,000 is invested at 6.5%.

4 0
3 years ago
A recipe for a strawberry smoothie calls for three eights cup of strawberries. Pat wants to make two servings of the strawberry
GrogVix [38]
If one serving takes 3/8 of a cup and she wants two servings, just multiply 3/8 by 2.

2 * (3/8) = 6/8 or 3/4 of a cup.
8 0
3 years ago
The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x +
SCORPION-xisa [38]
268 + 8(24)+12
268 + 204

instructor makes $472 a month
7 0
3 years ago
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Luden [163]

Answer:

i think its c

Step-by-step explanation:

Hope this helps!!

6 0
3 years ago
Find the first 4 terms in the expansion of ( 1 + x 2 ) 8. Use your answer to find the value of ( 1.01 ) 8
anyanavicka [17]

(1+x^2)^8

=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)

=1+8x^2+28x^4+56x^6+70x^8+....)

For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.

1.01=(1+0.1^2) => x=0.1 in the above expansion

(1.01)^8

=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]

=1+0.08+0.0028+0.000056 (+0.00000070)

=1.082856 (approximately)

7 0
4 years ago
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