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3 years ago

7

Marina deposits $1,500 in a savings account at Bank of America. The bank will pay her 5% interest at the end of the year. How mu

ch additional money from interest will Marina receive?

1 answer:

AURORKA [14]3 years ago

5 0

Answer:

75 of additional money

Step-by-step explanation:

5% of 1,500 is 75

and 1,500 plus 75 is 1575

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What is the surface area of this right prism?

Amiraneli [1.4K]

Answer:

Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by

surface area of prism = 2 * area of base + perimeter of base * H

So for the rectangular prism in your example..

surface area = 2LW + 2(L+W)H

= 2 * 7 * 4 + 2*(7+4)*5

= 56 + 2 * 11 * 5

= 56 +110

= 166 sq cm

Hope this helps

5 0

2 years ago

Find the value of cos J rounded to the nearest hundredth, if necessary.

WARRIOR [948]

$\green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}}$

Find the value of cos J rounded to the nearest hundredth

$\bold{ \red{\star{\blue{GIVEN }}}}$

HYPOTHESES= 13

PERPENDICULAR= 12

BASE = ?

$\bold{\blue{\star{\red{TO \: \: FIND}}}}$

$\cos(j) = ?$

$\bold{ \green{ \star{ \orange{FORMULA \: USED}}}}$

PYTHAGORAS THEROM
$\cos(j) = \frac{ BASE}{HYPOTENUSE}$

$\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}$

<h2>FOR BASE:- </h2>

${h}^{2} = {p}^{2} + {b}^{2}$

${13}^{2} = {12}^{2} + {x}^{2} \\ 169 - 144 = {x}^{2} \\ 25 = {x}^{2} \\ \sqrt{25} = x \\ 5 = x = base$

<h2>NOW :- </h2>

$\cos(j) = \frac{ BASE}{HYPOTENUSE}$

$\cos(j) = \frac{5}{13} \\ \cos(j) = 0.34$

3 0

3 years ago

Read 2 more answers

The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system. FYI it’s not b

sleet_krkn [62]

Answer:

c.

Step-by-step explanation:

From the last row in the matrix z = 1.

From the second row:

y + 5z = -4

y = -4 -5(1) = -9.

From the first row:

x + -1 = -3

x = - 3 + 1

x = -2.

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3 years ago

√secA+tanA/√secA-tanA × √cosecA-1/√cosecA+1=1

Snowcat [4.5K]

$Use:\\\\\sec A=\dfrac{1}{\cos A}\\\\\tan A=\dfrac{\sin A}{\cos A}\\\\\csc A=\dfrac{1}{\sin A}\\\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{\dfrac{a}{b}}=\dfrac{\sqrt{a}}{\sqrt{b}}\\---------------------------------\\\\\sec A+\tan A=\dfrac{1}{\cos A}+\dfrac{\sin A}{\cos A}=\dfrac{1+\sin A}{\cos A}\\\\\sec A-\tan A=\dfrac{1-\sin A}{\cos A}\\\\\csc A-1=\dfrac{1}{\sin A}-\dfrac{\sin A}{\sin A}=\dfrac{1-\sin A}{\sin A}\\\\\csc A+1=\dfrac{1+\sin A}{\sin A}$

$\dfrac{\sqrt{\sec A+\tan A}}{\sqrt{\sec A-\tan A}}\cdot\dfrac{\sqrt{\cos A-1}}{\sqrt{\cos A+1}}=1\\\\L_s=\sqrt{\dfrac{\sec A+\tan A}{\sec A-\tan A}\cdot\dfrac{\cos A-1}{\cos A+1}}=\sqrt{\dfrac{\frac{1+\sin A}{\cos A}}{\frac{1-\sin A}{\cos A}}\cdot\dfrac{\frac{1-\sin A}{\sin A}}{\frac{1+\sin A}{\sin A}}}\\\\=\sqrt{\dfrac{1+\sin A}{\cos A}\cdot\dfrac{\cos A}{1-\sin A}\cdot\dfrac{1-\sin A}{\sin A}\cdot\dfrac{\sin A}{1+\sin A}}\\\\\text{Everything are simplified}\\\\=\sqrt{1}=1=R_s$

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3 years ago

A box of 20 dictionaries costs $84. An individual dictionary costs $5. You need at least 55 dictionaries. Find the price of each

SOVA2 [1]

55/20=2 as qutiont and 15 as remainder

2X84=168

15X5=75

answer=243

5 0

4 years ago