The annual salary of Mrs. Fredrick is $ 39397.2
<u>Solution:</u>
Given, Mrs. Frederick is paid semimonthly.
Her semi-monthly salary is $1.641.55.
Now, let us find her monthly salary first.
<em>monthly salary = 2 x semi – monthly salary </em>
So, monthly salary = 2 x 1,641.55 = $ 3283.1
Since there 12 months in a year, we obtain the annual salary as follows:
Now, the<em> annual salary = 12 x monthly salary </em>
Annual salary = 12 x 3283.1 = $ 39397.2
Hence, the annual salary of Mrs. Fredrick is $ 39397.2
Answer:
6u+54
Step-by-step explanation:
Answer:
none of the above
Step-by-step explanation:
because 5p + 3p = 8p and positive integers × negative integers = negative integers.
Answer:
Option B. AA
Step-by-step explanation:
we know that
Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar
In this problem
<em>In the triangle XYZ</em>
∠X=70°
∠Y=90°
∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)
<em>In the triangle UWV</em>
∠V=20°
∠W=90°
∠U=90°-20°=70° (remember that angle V and angle U are complementary)
therefore
Traingles XYZ and UWV are similar by AA Similarity Postulate
Answer:
£714.00
Step-by-step explanation:
The first step is to set up expresssions for the two shares:
Let x = the amount of one share. The other share is 1785 - x. <u>You don't have to worry about which is smaller--that part will work out automatically</u>!
The two shares are in the ratio of 2:3, so set up the proportion

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.
Solve the proportion for x by "cross multiplying" -- use the Means-Extremes Property of proportions.

So one share is £714£ and the other is £1785 - £714 = £1071.
The smaller share is £714.
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