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2 years ago

What unit would you USE

Mathematics

2 answers:

neonofarm [45]2 years ago

7 0

Answer:

1. Mile

2. Foot

3. Yard

4. Inch

boyakko [2]2 years ago

4 0

1. Mile
2.Foot
3. Yard
4. Inch

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√₂

snow_lady [41]

Answer:

$2000 was invested at 5% and $5000 was invested at 8%.

Step-by-step explanation:

Assuming the interest is simple interest.

<u>Simple Interest Formula</u>

I = Prt

where:

I = interest earned.
P = principal invested.
r = interest rate (in decimal form).
t = time (in years).

Given:

Total P = $7000
P₁ = principal invested at 5%
P₂ = principal invested at 8%
Total interest = $500
r₁ = 5% = 0.05
r₂ = 8% = 0.08
t = 1 year

Create two equations from the given information:

$\textsf{Equation 1}: \quad \sf P_1+P_2=7000$

$\textsf{Equation 2}: \quad \sf P_1r_1t+P_2r_2t=I\implies 0.05P_1+0.08P_2=500$

Rewrite Equation 1 to make P₁ the subject:

$\implies \sf P_1=7000-P_2$

Substitute this into Equation 2 and solve for P₂:

$\implies \sf 0.05(7000-P_2)+0.08P_2=500$

$\implies \sf 350-0.05P_2+0.08P_2=500$

$\implies \sf 0.03P_2=150$

$\implies \sf P_2=\dfrac{150}{0.03}$

$\implies \sf P_2=5000$

Substitute the found value of P₂ into Equation 1 and solve for P₁:

$\implies \sf P_1+5000=7000$

$\implies \sf P_1=7000-5000$

$\implies \sf P_1 = 2000$

$2000 was invested at 5% and $5000 was invested at 8%.

Learn more about simple interest here:

brainly.com/question/27743947

brainly.com/question/28350785

5 0

1 year ago

Tricio mokes $9.00 an hour and works 40 hours a week. How much money does she earn in a year

nadezda [96]

Answer:

18,771 $

Step-by-step explanation:

there are 52.1429 weeks in one year with 40 hours of work each week and then 9 dollars made an hour this equals to 18,771 $

3 0

2 years ago

Find the missing side. round to the nearest tenth.

horrorfan [7]

Answer:

24) x = 9.2

25) x = 30.8

Step-by-step explanation:

Given

See attachment for triangles

Solving (24)

To solve for x, we make use of cosine formula

i.e.

cos(40) = adjacent ÷ hypotenuse

So, we have:

cos(40) = x ÷ 12

Multiply both sides by 12

12 cos(40) = x

12 * 0.7660 = x

x = 9.2

Solving (25)

To solve for x, we make use of sine formula

i.e.

sin(25) = opposite ÷ hypotenuse

So, we have:

sin(25) = 13 ÷ x

Multiply both sides by

x sin(25) = 13

Divide by sin(25)

x = 13 ÷ sin(25)

Using a calculator

x = 30.8

5 0

2 years ago

Find the exact values below. If applicable, click on "Undefined".<br> cot 7pi/6

QveST [7]

Answer:

√3

Step-by-step explanation:

We cannot solve this operation directly. Because cot7pi/6 is undefined.

We know that 1/tan= cot.

so we will first take the reciprocal of cot that is 1/tan.

So,

cot7pi/6= 1/tan 7π/6

∵7π/6 = 210 where pi=180

so cot7π/6 =1/tan210

cot7π/6 =1/1÷√3

cot7π/6 = √3

4 0

2 years ago

Triangle RST has vertices R(−2, 2), S(1, 1), and T(−1, −3). Find the coordinates for the image of each vertex for the given rota

Vesnalui [34]

Answer:

A. $R'(-2,-2),S'(-1,1),$ and $T'(3,-1)$

Step-by-step explanation:

Given:

Vertices of triangle RST are $R(-2,2),S(1,1),$ and $T(-1,-3)$ .

Rotation is 90° about the center O(0,0). The rotation is counter-clockwise as the angle of rotation is positive.

Now, the co-ordinate rule for 90° rotation counter-clockwise is given as: $(x,y)$ → $(-y,x)$

$x$ and $y$ values interchange their places with $y$ becoming negative when interchanged.

So, $R(-2,2)$ → $R'(-2,-2)$

$S(1,1)$ → $S'(-1,1)$

$T(-1,-3)$ → $T'(-(-3),-1)$

⇒ $T(-1,-3)$ → $T'(3,-1)$

Therefore, the image of the vertices are $R'(-2,-2),S'(-1,1),$ and $T'(3,-1)$ .

6 0

2 years ago